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Finding the Fourth Proportional to 282,097.47, 389,294.88 and 154,773.57

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Solution

The fourth proportional to 282,097.47, 389,294.88 and 154,773.57 is: 213,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,097.47 : 389,294.88 = 154,773.57 : x
  2. Step 2: Convert to fraction form
    282,097.47/389,294.88 = 154,773.57/x
  3. Step 3: Cross multiply
    282,097.47x = 389,294.88 × 154,773.57
  4. Step 4: Simplify right side
    282,097.47x = 60,252,558,360.32
  5. Step 5: Solve for x
    x = 60,252,558,360.32/282,097.47
  6. Step 6: Final answer
    x = 213,587.73

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1.5x scale

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.