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Finding the Fourth Proportional to 747,865, 1,032,058.74 and 408,337.48

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Solution

The fourth proportional to 747,865, 1,032,058.74 and 408,337.48 is: 563,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,865 : 1,032,058.74 = 408,337.48 : x
  2. Step 2: Convert to fraction form
    747,865/1,032,058.74 = 408,337.48/x
  3. Step 3: Cross multiply
    747,865x = 1,032,058.74 × 408,337.48
  4. Step 4: Simplify right side
    747,865x = 421,428,265,103.58
  5. Step 5: Solve for x
    x = 421,428,265,103.58/747,865
  6. Step 6: Final answer
    x = 563,508.47

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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.