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Finding the Fourth Proportional to 497,911.40, 746,867.10 and 165,487.40

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Solution

The fourth proportional to 497,911.40, 746,867.10 and 165,487.40 is: 248,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,911.40 : 746,867.10 = 165,487.40 : x
  2. Step 2: Convert to fraction form
    497,911.40/746,867.10 = 165,487.40/x
  3. Step 3: Cross multiply
    497,911.40x = 746,867.10 × 165,487.40
  4. Step 4: Simplify right side
    497,911.40x = 123,597,094,524.54
  5. Step 5: Solve for x
    x = 123,597,094,524.54/497,911.40
  6. Step 6: Final answer
    x = 248,231.10

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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.