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Finding the Fourth Proportional to 649,587.24, 896,414.58 and 363,141

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Solution

The fourth proportional to 649,587.24, 896,414.58 and 363,141 is: 501,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,587.24 : 896,414.58 = 363,141 : x
  2. Step 2: Convert to fraction form
    649,587.24/896,414.58 = 363,141/x
  3. Step 3: Cross multiply
    649,587.24x = 896,414.58 × 363,141
  4. Step 4: Simplify right side
    649,587.24x = 325,524,886,995.78
  5. Step 5: Solve for x
    x = 325,524,886,995.78/649,587.24
  6. Step 6: Final answer
    x = 501,125.74

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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.