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Finding the Fourth Proportional to 649,319.22, 896,043.24 and 362,841.66

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Solution

The fourth proportional to 649,319.22, 896,043.24 and 362,841.66 is: 500,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,319.22 : 896,043.24 = 362,841.66 : x
  2. Step 2: Convert to fraction form
    649,319.22/896,043.24 = 362,841.66/x
  3. Step 3: Cross multiply
    649,319.22x = 896,043.24 × 362,841.66
  4. Step 4: Simplify right side
    649,319.22x = 325,121,816,633.38
  5. Step 5: Solve for x
    x = 325,121,816,633.38/649,319.22
  6. Step 6: Final answer
    x = 500,711.83

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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.