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Finding the Fourth Proportional to 686,713.20, 1,030,507.20 and 402,403.20

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Solution

The fourth proportional to 686,713.20, 1,030,507.20 and 402,403.20 is: 603,861.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,713.20 : 1,030,507.20 = 402,403.20 : x
  2. Step 2: Convert to fraction form
    686,713.20/1,030,507.20 = 402,403.20/x
  3. Step 3: Cross multiply
    686,713.20x = 1,030,507.20 × 402,403.20
  4. Step 4: Simplify right side
    686,713.20x = 414,679,394,903.04
  5. Step 5: Solve for x
    x = 414,679,394,903.04/686,713.20
  6. Step 6: Final answer
    x = 603,861.11

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