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Finding the Fourth Proportional to 638,703.14, 881,423.10 and 412,742.30

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Solution

The fourth proportional to 638,703.14, 881,423.10 and 412,742.30 is: 569,592.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,703.14 : 881,423.10 = 412,742.30 : x
  2. Step 2: Convert to fraction form
    638,703.14/881,423.10 = 412,742.30/x
  3. Step 3: Cross multiply
    638,703.14x = 881,423.10 × 412,742.30
  4. Step 4: Simplify right side
    638,703.14x = 363,800,597,567.13
  5. Step 5: Solve for x
    x = 363,800,597,567.13/638,703.14
  6. Step 6: Final answer
    x = 569,592.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.