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Finding the Fourth Proportional to 410,833.76, 616,250.43 and 154,714.59

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Solution

The fourth proportional to 410,833.76, 616,250.43 and 154,714.59 is: 232,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,833.76 : 616,250.43 = 154,714.59 : x
  2. Step 2: Convert to fraction form
    410,833.76/616,250.43 = 154,714.59/x
  3. Step 3: Cross multiply
    410,833.76x = 616,250.43 × 154,714.59
  4. Step 4: Simplify right side
    410,833.76x = 95,342,932,614.77
  5. Step 5: Solve for x
    x = 95,342,932,614.77/410,833.76
  6. Step 6: Final answer
    x = 232,071.81

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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.