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Finding the Fourth Proportional to 282,656.34, 424,046.88 and 156,480.66

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Solution

The fourth proportional to 282,656.34, 424,046.88 and 156,480.66 is: 234,755.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,656.34 : 424,046.88 = 156,480.66 : x
  2. Step 2: Convert to fraction form
    282,656.34/424,046.88 = 156,480.66/x
  3. Step 3: Cross multiply
    282,656.34x = 424,046.88 × 156,480.66
  4. Step 4: Simplify right side
    282,656.34x = 66,355,135,653.34
  5. Step 5: Solve for x
    x = 66,355,135,653.34/282,656.34
  6. Step 6: Final answer
    x = 234,755.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.