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Finding the Fourth Proportional to 493,458.76, 680,972.34 and 267,105.16

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Solution

The fourth proportional to 493,458.76, 680,972.34 and 267,105.16 is: 368,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,458.76 : 680,972.34 = 267,105.16 : x
  2. Step 2: Convert to fraction form
    493,458.76/680,972.34 = 267,105.16/x
  3. Step 3: Cross multiply
    493,458.76x = 680,972.34 × 267,105.16
  4. Step 4: Simplify right side
    493,458.76x = 181,891,225,831.27
  5. Step 5: Solve for x
    x = 181,891,225,831.27/493,458.76
  6. Step 6: Final answer
    x = 368,604.72

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.