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Finding the Fourth Proportional to 363,792.46, 501,966.97 and 202,643.50

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Solution

The fourth proportional to 363,792.46, 501,966.97 and 202,643.50 is: 279,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,792.46 : 501,966.97 = 202,643.50 : x
  2. Step 2: Convert to fraction form
    363,792.46/501,966.97 = 202,643.50/x
  3. Step 3: Cross multiply
    363,792.46x = 501,966.97 × 202,643.50
  4. Step 4: Simplify right side
    363,792.46x = 101,720,343,685.20
  5. Step 5: Solve for x
    x = 101,720,343,685.20/363,792.46
  6. Step 6: Final answer
    x = 279,610.92

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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.