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Finding the Fourth Proportional to 649,679.16, 896,563.62 and 363,214.92

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Solution

The fourth proportional to 649,679.16, 896,563.62 and 363,214.92 is: 501,240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,679.16 : 896,563.62 = 363,214.92 : x
  2. Step 2: Convert to fraction form
    649,679.16/896,563.62 = 363,214.92/x
  3. Step 3: Cross multiply
    649,679.16x = 896,563.62 × 363,214.92
  4. Step 4: Simplify right side
    649,679.16x = 325,645,283,513.21
  5. Step 5: Solve for x
    x = 325,645,283,513.21/649,679.16
  6. Step 6: Final answer
    x = 501,240.16

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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.