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Finding the Fourth Proportional to 402,596.73, 603,897.66 and 118,286.10

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Solution

The fourth proportional to 402,596.73, 603,897.66 and 118,286.10 is: 177,429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,596.73 : 603,897.66 = 118,286.10 : x
  2. Step 2: Convert to fraction form
    402,596.73/603,897.66 = 118,286.10/x
  3. Step 3: Cross multiply
    402,596.73x = 603,897.66 × 118,286.10
  4. Step 4: Simplify right side
    402,596.73x = 71,432,699,000.53
  5. Step 5: Solve for x
    x = 71,432,699,000.53/402,596.73
  6. Step 6: Final answer
    x = 177,429.90

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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.