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Finding the Fourth Proportional to 497,423.40, 746,135.10 and 164,999.40

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Solution

The fourth proportional to 497,423.40, 746,135.10 and 164,999.40 is: 247,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,423.40 : 746,135.10 = 164,999.40 : x
  2. Step 2: Convert to fraction form
    497,423.40/746,135.10 = 164,999.40/x
  3. Step 3: Cross multiply
    497,423.40x = 746,135.10 × 164,999.40
  4. Step 4: Simplify right side
    497,423.40x = 123,111,843,818.94
  5. Step 5: Solve for x
    x = 123,111,843,818.94/497,423.40
  6. Step 6: Final answer
    x = 247,499.10

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.