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Finding the Fourth Proportional to 341,006.70, 511,562.61 and 116,314.64

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Solution

The fourth proportional to 341,006.70, 511,562.61 and 116,314.64 is: 174,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,006.70 : 511,562.61 = 116,314.64 : x
  2. Step 2: Convert to fraction form
    341,006.70/511,562.61 = 116,314.64/x
  3. Step 3: Cross multiply
    341,006.70x = 511,562.61 × 116,314.64
  4. Step 4: Simplify right side
    341,006.70x = 59,502,220,819.61
  5. Step 5: Solve for x
    x = 59,502,220,819.61/341,006.70
  6. Step 6: Final answer
    x = 174,489.89

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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.