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Finding the Fourth Proportional to 546,638.46, 753,869.90 and 342,711.64

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Solution

The fourth proportional to 546,638.46, 753,869.90 and 342,711.64 is: 472,634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,638.46 : 753,869.90 = 342,711.64 : x
  2. Step 2: Convert to fraction form
    546,638.46/753,869.90 = 342,711.64/x
  3. Step 3: Cross multiply
    546,638.46x = 753,869.90 × 342,711.64
  4. Step 4: Simplify right side
    546,638.46x = 258,359,989,775.64
  5. Step 5: Solve for x
    x = 258,359,989,775.64/546,638.46
  6. Step 6: Final answer
    x = 472,634.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.