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Finding the Fourth Proportional to 491,830.70, 737,772.38 and 154,897.59

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Solution

The fourth proportional to 491,830.70, 737,772.38 and 154,897.59 is: 232,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,830.70 : 737,772.38 = 154,897.59 : x
  2. Step 2: Convert to fraction form
    491,830.70/737,772.38 = 154,897.59/x
  3. Step 3: Cross multiply
    491,830.70x = 737,772.38 × 154,897.59
  4. Step 4: Simplify right side
    491,830.70x = 114,279,162,856.08
  5. Step 5: Solve for x
    x = 114,279,162,856.08/491,830.70
  6. Step 6: Final answer
    x = 232,354.68

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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.