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Finding the Fourth Proportional to 438,948, 605,748.24 and 237,744

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Solution

The fourth proportional to 438,948, 605,748.24 and 237,744 is: 328,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,948 : 605,748.24 = 237,744 : x
  2. Step 2: Convert to fraction form
    438,948/605,748.24 = 237,744/x
  3. Step 3: Cross multiply
    438,948x = 605,748.24 × 237,744
  4. Step 4: Simplify right side
    438,948x = 144,013,009,570.56
  5. Step 5: Solve for x
    x = 144,013,009,570.56/438,948
  6. Step 6: Final answer
    x = 328,086.72

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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.