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Finding the Fourth Proportional to 315,176.59, 434,934.12 and 177,363.19

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Solution

The fourth proportional to 315,176.59, 434,934.12 and 177,363.19 is: 244,755.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,176.59 : 434,934.12 = 177,363.19 : x
  2. Step 2: Convert to fraction form
    315,176.59/434,934.12 = 177,363.19/x
  3. Step 3: Cross multiply
    315,176.59x = 434,934.12 × 177,363.19
  4. Step 4: Simplify right side
    315,176.59x = 77,141,302,963.04
  5. Step 5: Solve for x
    x = 77,141,302,963.04/315,176.59
  6. Step 6: Final answer
    x = 244,755.81

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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.