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Finding the Fourth Proportional to 411,055.85, 615,587.18 and 284,340.53

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Solution

The fourth proportional to 411,055.85, 615,587.18 and 284,340.53 is: 425,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,055.85 : 615,587.18 = 284,340.53 : x
  2. Step 2: Convert to fraction form
    411,055.85/615,587.18 = 284,340.53/x
  3. Step 3: Cross multiply
    411,055.85x = 615,587.18 × 284,340.53
  4. Step 4: Simplify right side
    411,055.85x = 175,036,383,600.70
  5. Step 5: Solve for x
    x = 175,036,383,600.70/411,055.85
  6. Step 6: Final answer
    x = 425,821.41

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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.