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Finding the Fourth Proportional to 649,660.16, 896,543.52 and 363,200.96

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Solution

The fourth proportional to 649,660.16, 896,543.52 and 363,200.96 is: 501,224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,660.16 : 896,543.52 = 363,200.96 : x
  2. Step 2: Convert to fraction form
    649,660.16/896,543.52 = 363,200.96/x
  3. Step 3: Cross multiply
    649,660.16x = 896,543.52 × 363,200.96
  4. Step 4: Simplify right side
    649,660.16x = 325,625,467,145.78
  5. Step 5: Solve for x
    x = 325,625,467,145.78/649,660.16
  6. Step 6: Final answer
    x = 501,224.31

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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.