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Finding the Fourth Proportional to 461,111.16, 636,391.71 and 279,812.64

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Solution

The fourth proportional to 461,111.16, 636,391.71 and 279,812.64 is: 386,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,111.16 : 636,391.71 = 279,812.64 : x
  2. Step 2: Convert to fraction form
    461,111.16/636,391.71 = 279,812.64/x
  3. Step 3: Cross multiply
    461,111.16x = 636,391.71 × 279,812.64
  4. Step 4: Simplify right side
    461,111.16x = 178,070,444,449.21
  5. Step 5: Solve for x
    x = 178,070,444,449.21/461,111.16
  6. Step 6: Final answer
    x = 386,176.83

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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.