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Finding the Fourth Proportional to 315,773.79, 435,767.16 and 172,534.86

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Solution

The fourth proportional to 315,773.79, 435,767.16 and 172,534.86 is: 238,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,773.79 : 435,767.16 = 172,534.86 : x
  2. Step 2: Convert to fraction form
    315,773.79/435,767.16 = 172,534.86/x
  3. Step 3: Cross multiply
    315,773.79x = 435,767.16 × 172,534.86
  4. Step 4: Simplify right side
    315,773.79x = 75,185,025,943.20
  5. Step 5: Solve for x
    x = 75,185,025,943.20/315,773.79
  6. Step 6: Final answer
    x = 238,097.74

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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.