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Finding the Fourth Proportional to 442,045.71, 658,901.43 and 419,607.09

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Solution

The fourth proportional to 442,045.71, 658,901.43 and 419,607.09 is: 625,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,045.71 : 658,901.43 = 419,607.09 : x
  2. Step 2: Convert to fraction form
    442,045.71/658,901.43 = 419,607.09/x
  3. Step 3: Cross multiply
    442,045.71x = 658,901.43 × 419,607.09
  4. Step 4: Simplify right side
    442,045.71x = 276,479,711,639.14
  5. Step 5: Solve for x
    x = 276,479,711,639.14/442,045.71
  6. Step 6: Final answer
    x = 625,455.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.