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Finding the Fourth Proportional to 442,532.14, 610,693.50 and 241,328.14

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Solution

The fourth proportional to 442,532.14, 610,693.50 and 241,328.14 is: 333,032.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,532.14 : 610,693.50 = 241,328.14 : x
  2. Step 2: Convert to fraction form
    442,532.14/610,693.50 = 241,328.14/x
  3. Step 3: Cross multiply
    442,532.14x = 610,693.50 × 241,328.14
  4. Step 4: Simplify right side
    442,532.14x = 147,377,526,465.09
  5. Step 5: Solve for x
    x = 147,377,526,465.09/442,532.14
  6. Step 6: Final answer
    x = 333,032.37

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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.