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Finding the Fourth Proportional to 402,434.10, 603,432.45 and 165,800.70

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Solution

The fourth proportional to 402,434.10, 603,432.45 and 165,800.70 is: 248,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,434.10 : 603,432.45 = 165,800.70 : x
  2. Step 2: Convert to fraction form
    402,434.10/603,432.45 = 165,800.70/x
  3. Step 3: Cross multiply
    402,434.10x = 603,432.45 × 165,800.70
  4. Step 4: Simplify right side
    402,434.10x = 100,049,522,612.72
  5. Step 5: Solve for x
    x = 100,049,522,612.72/402,434.10
  6. Step 6: Final answer
    x = 248,610.95

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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.