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Finding the Fourth Proportional to 588,350.72, 881,911.68 and 288,416

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Solution

The fourth proportional to 588,350.72, 881,911.68 and 288,416 is: 432,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,350.72 : 881,911.68 = 288,416 : x
  2. Step 2: Convert to fraction form
    588,350.72/881,911.68 = 288,416/x
  3. Step 3: Cross multiply
    588,350.72x = 881,911.68 × 288,416
  4. Step 4: Simplify right side
    588,350.72x = 254,357,439,098.88
  5. Step 5: Solve for x
    x = 254,357,439,098.88/588,350.72
  6. Step 6: Final answer
    x = 432,322.81

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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.