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Finding the Fourth Proportional to 473,126.40, 709,689.60 and 286,502.40

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Solution

The fourth proportional to 473,126.40, 709,689.60 and 286,502.40 is: 429,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,126.40 : 709,689.60 = 286,502.40 : x
  2. Step 2: Convert to fraction form
    473,126.40/709,689.60 = 286,502.40/x
  3. Step 3: Cross multiply
    473,126.40x = 709,689.60 × 286,502.40
  4. Step 4: Simplify right side
    473,126.40x = 203,327,773,655.04
  5. Step 5: Solve for x
    x = 203,327,773,655.04/473,126.40
  6. Step 6: Final answer
    x = 429,753.60

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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.