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Finding the Fourth Proportional to 461,219.61, 692,812.77 and 434,253.90

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Solution

The fourth proportional to 461,219.61, 692,812.77 and 434,253.90 is: 652,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,219.61 : 692,812.77 = 434,253.90 : x
  2. Step 2: Convert to fraction form
    461,219.61/692,812.77 = 434,253.90/x
  3. Step 3: Cross multiply
    461,219.61x = 692,812.77 × 434,253.90
  4. Step 4: Simplify right side
    461,219.61x = 300,856,647,342.30
  5. Step 5: Solve for x
    x = 300,856,647,342.30/461,219.61
  6. Step 6: Final answer
    x = 652,306.71

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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.