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Finding the Fourth Proportional to 825,132, 1,138,682.16 and 467,436

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Solution

The fourth proportional to 825,132, 1,138,682.16 and 467,436 is: 645,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,132 : 1,138,682.16 = 467,436 : x
  2. Step 2: Convert to fraction form
    825,132/1,138,682.16 = 467,436/x
  3. Step 3: Cross multiply
    825,132x = 1,138,682.16 × 467,436
  4. Step 4: Simplify right side
    825,132x = 532,261,034,141.76
  5. Step 5: Solve for x
    x = 532,261,034,141.76/825,132
  6. Step 6: Final answer
    x = 645,061.68

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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.