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Finding the Fourth Proportional to 497,681.40, 746,522.10 and 165,257.40

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Solution

The fourth proportional to 497,681.40, 746,522.10 and 165,257.40 is: 247,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,681.40 : 746,522.10 = 165,257.40 : x
  2. Step 2: Convert to fraction form
    497,681.40/746,522.10 = 165,257.40/x
  3. Step 3: Cross multiply
    497,681.40x = 746,522.10 × 165,257.40
  4. Step 4: Simplify right side
    497,681.40x = 123,368,301,288.54
  5. Step 5: Solve for x
    x = 123,368,301,288.54/497,681.40
  6. Step 6: Final answer
    x = 247,886.10

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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.