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Finding the Fourth Proportional to 402,174.96, 603,345.33 and 117,874.95

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Solution

The fourth proportional to 402,174.96, 603,345.33 and 117,874.95 is: 176,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,174.96 : 603,345.33 = 117,874.95 : x
  2. Step 2: Convert to fraction form
    402,174.96/603,345.33 = 117,874.95/x
  3. Step 3: Cross multiply
    402,174.96x = 603,345.33 × 117,874.95
  4. Step 4: Simplify right side
    402,174.96x = 71,119,300,606.48
  5. Step 5: Solve for x
    x = 71,119,300,606.48/402,174.96
  6. Step 6: Final answer
    x = 176,836.72

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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.