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Finding the Fourth Proportional to 610,489.38, 842,475.35 and 338,598.91

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Solution

The fourth proportional to 610,489.38, 842,475.35 and 338,598.91 is: 467,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,489.38 : 842,475.35 = 338,598.91 : x
  2. Step 2: Convert to fraction form
    610,489.38/842,475.35 = 338,598.91/x
  3. Step 3: Cross multiply
    610,489.38x = 842,475.35 × 338,598.91
  4. Step 4: Simplify right side
    610,489.38x = 285,261,235,211.87
  5. Step 5: Solve for x
    x = 285,261,235,211.87/610,489.38
  6. Step 6: Final answer
    x = 467,266.50

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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.