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Finding the Fourth Proportional to 820,463.54, 1,132,353.82 and 457,910.76

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Solution

The fourth proportional to 820,463.54, 1,132,353.82 and 457,910.76 is: 631,980.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,463.54 : 1,132,353.82 = 457,910.76 : x
  2. Step 2: Convert to fraction form
    820,463.54/1,132,353.82 = 457,910.76/x
  3. Step 3: Cross multiply
    820,463.54x = 1,132,353.82 × 457,910.76
  4. Step 4: Simplify right side
    820,463.54x = 518,516,998,305.10
  5. Step 5: Solve for x
    x = 518,516,998,305.10/820,463.54
  6. Step 6: Final answer
    x = 631,980.55

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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.