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Finding the Fourth Proportional to 474,085.71, 711,129.25 and 193,602.96

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Solution

The fourth proportional to 474,085.71, 711,129.25 and 193,602.96 is: 290,404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,085.71 : 711,129.25 = 193,602.96 : x
  2. Step 2: Convert to fraction form
    474,085.71/711,129.25 = 193,602.96/x
  3. Step 3: Cross multiply
    474,085.71x = 711,129.25 × 193,602.96
  4. Step 4: Simplify right side
    474,085.71x = 137,676,728,560.52
  5. Step 5: Solve for x
    x = 137,676,728,560.52/474,085.71
  6. Step 6: Final answer
    x = 290,404.72

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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.