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Finding the Fourth Proportional to 410,640.48, 615,853.80 and 173,861.28

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Solution

The fourth proportional to 410,640.48, 615,853.80 and 173,861.28 is: 260,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,640.48 : 615,853.80 = 173,861.28 : x
  2. Step 2: Convert to fraction form
    410,640.48/615,853.80 = 173,861.28/x
  3. Step 3: Cross multiply
    410,640.48x = 615,853.80 × 173,861.28
  4. Step 4: Simplify right side
    410,640.48x = 107,073,129,960.86
  5. Step 5: Solve for x
    x = 107,073,129,960.86/410,640.48
  6. Step 6: Final answer
    x = 260,746.65

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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.