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Finding the Fourth Proportional to 458,489.40, 686,178.90 and 402,502.20

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Solution

The fourth proportional to 458,489.40, 686,178.90 and 402,502.20 is: 602,388.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,489.40 : 686,178.90 = 402,502.20 : x
  2. Step 2: Convert to fraction form
    458,489.40/686,178.90 = 402,502.20/x
  3. Step 3: Cross multiply
    458,489.40x = 686,178.90 × 402,502.20
  4. Step 4: Simplify right side
    458,489.40x = 276,188,516,843.58
  5. Step 5: Solve for x
    x = 276,188,516,843.58/458,489.40
  6. Step 6: Final answer
    x = 602,388.01

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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.