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Finding the Fourth Proportional to 497,585.85, 745,284.74 and 411,217.85

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Solution

The fourth proportional to 497,585.85, 745,284.74 and 411,217.85 is: 615,922.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,585.85 : 745,284.74 = 411,217.85 : x
  2. Step 2: Convert to fraction form
    497,585.85/745,284.74 = 411,217.85/x
  3. Step 3: Cross multiply
    497,585.85x = 745,284.74 × 411,217.85
  4. Step 4: Simplify right side
    497,585.85x = 306,474,382,638.10
  5. Step 5: Solve for x
    x = 306,474,382,638.10/497,585.85
  6. Step 6: Final answer
    x = 615,922.62

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Why These Related Problems?

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