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Finding the Fourth Proportional to 461,432.30, 692,148.45 and 283,361.90

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Solution

The fourth proportional to 461,432.30, 692,148.45 and 283,361.90 is: 425,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,432.30 : 692,148.45 = 283,361.90 : x
  2. Step 2: Convert to fraction form
    461,432.30/692,148.45 = 283,361.90/x
  3. Step 3: Cross multiply
    461,432.30x = 692,148.45 × 283,361.90
  4. Step 4: Simplify right side
    461,432.30x = 196,128,499,874.06
  5. Step 5: Solve for x
    x = 196,128,499,874.06/461,432.30
  6. Step 6: Final answer
    x = 425,042.85

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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.