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Finding the Fourth Proportional to 282,718.44, 424,077.84 and 132,848.76

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Solution

The fourth proportional to 282,718.44, 424,077.84 and 132,848.76 is: 199,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,718.44 : 424,077.84 = 132,848.76 : x
  2. Step 2: Convert to fraction form
    282,718.44/424,077.84 = 132,848.76/x
  3. Step 3: Cross multiply
    282,718.44x = 424,077.84 × 132,848.76
  4. Step 4: Simplify right side
    282,718.44x = 56,338,215,187.48
  5. Step 5: Solve for x
    x = 56,338,215,187.48/282,718.44
  6. Step 6: Final answer
    x = 199,273.22

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1.5x scale

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.