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Finding the Fourth Proportional to 290,332.38, 400,702.71 and 177,220.86

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Solution

The fourth proportional to 290,332.38, 400,702.71 and 177,220.86 is: 244,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,332.38 : 400,702.71 = 177,220.86 : x
  2. Step 2: Convert to fraction form
    290,332.38/400,702.71 = 177,220.86/x
  3. Step 3: Cross multiply
    290,332.38x = 400,702.71 × 177,220.86
  4. Step 4: Simplify right side
    290,332.38x = 71,012,878,870.53
  5. Step 5: Solve for x
    x = 71,012,878,870.53/290,332.38
  6. Step 6: Final answer
    x = 244,591.66

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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.