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Finding the Fourth Proportional to 610,306.14, 842,272.11 and 338,401.02

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Solution

The fourth proportional to 610,306.14, 842,272.11 and 338,401.02 is: 467,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,306.14 : 842,272.11 = 338,401.02 : x
  2. Step 2: Convert to fraction form
    610,306.14/842,272.11 = 338,401.02/x
  3. Step 3: Cross multiply
    610,306.14x = 842,272.11 × 338,401.02
  4. Step 4: Simplify right side
    610,306.14x = 285,025,741,141.55
  5. Step 5: Solve for x
    x = 285,025,741,141.55/610,306.14
  6. Step 6: Final answer
    x = 467,020.93

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1.5x scale

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.