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Finding the Fourth Proportional to 487,822.64, 731,733.96 and 321,571.76

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Solution

The fourth proportional to 487,822.64, 731,733.96 and 321,571.76 is: 482,357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,822.64 : 731,733.96 = 321,571.76 : x
  2. Step 2: Convert to fraction form
    487,822.64/731,733.96 = 321,571.76/x
  3. Step 3: Cross multiply
    487,822.64x = 731,733.96 × 321,571.76
  4. Step 4: Simplify right side
    487,822.64x = 235,304,977,368.97
  5. Step 5: Solve for x
    x = 235,304,977,368.97/487,822.64
  6. Step 6: Final answer
    x = 482,357.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.