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Finding the Fourth Proportional to 649,670.64, 896,565.24 and 363,202.80

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Solution

The fourth proportional to 649,670.64, 896,565.24 and 363,202.80 is: 501,230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,670.64 : 896,565.24 = 363,202.80 : x
  2. Step 2: Convert to fraction form
    649,670.64/896,565.24 = 363,202.80/x
  3. Step 3: Cross multiply
    649,670.64x = 896,565.24 × 363,202.80
  4. Step 4: Simplify right side
    649,670.64x = 325,635,005,550.67
  5. Step 5: Solve for x
    x = 325,635,005,550.67/649,670.64
  6. Step 6: Final answer
    x = 501,230.91

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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.