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Finding the Fourth Proportional to 497,585.97, 745,284.93 and 411,217.98

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Solution

The fourth proportional to 497,585.97, 745,284.93 and 411,217.98 is: 615,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,585.97 : 745,284.93 = 411,217.98 : x
  2. Step 2: Convert to fraction form
    497,585.97/745,284.93 = 411,217.98/x
  3. Step 3: Cross multiply
    497,585.97x = 745,284.93 × 411,217.98
  4. Step 4: Simplify right side
    497,585.97x = 306,474,563,439.04
  5. Step 5: Solve for x
    x = 306,474,563,439.04/497,585.97
  6. Step 6: Final answer
    x = 615,922.84

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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.