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Finding the Fourth Proportional to 417,403.08, 626,098.50 and 289,201.14

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Solution

The fourth proportional to 417,403.08, 626,098.50 and 289,201.14 is: 433,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,403.08 : 626,098.50 = 289,201.14 : x
  2. Step 2: Convert to fraction form
    417,403.08/626,098.50 = 289,201.14/x
  3. Step 3: Cross multiply
    417,403.08x = 626,098.50 × 289,201.14
  4. Step 4: Simplify right side
    417,403.08x = 181,068,399,952.29
  5. Step 5: Solve for x
    x = 181,068,399,952.29/417,403.08
  6. Step 6: Final answer
    x = 433,797.47

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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.