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Finding the Fourth Proportional to 314,593.33, 471,710.09 and 146,026.93

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Solution

The fourth proportional to 314,593.33, 471,710.09 and 146,026.93 is: 218,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,593.33 : 471,710.09 = 146,026.93 : x
  2. Step 2: Convert to fraction form
    314,593.33/471,710.09 = 146,026.93/x
  3. Step 3: Cross multiply
    314,593.33x = 471,710.09 × 146,026.93
  4. Step 4: Simplify right side
    314,593.33x = 68,882,375,562.59
  5. Step 5: Solve for x
    x = 68,882,375,562.59/314,593.33
  6. Step 6: Final answer
    x = 218,956.88

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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.