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Finding the Fourth Proportional to 282,991.76, 424,341.56 and 83,286.24

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Solution

The fourth proportional to 282,991.76, 424,341.56 and 83,286.24 is: 124,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,991.76 : 424,341.56 = 83,286.24 : x
  2. Step 2: Convert to fraction form
    282,991.76/424,341.56 = 83,286.24/x
  3. Step 3: Cross multiply
    282,991.76x = 424,341.56 × 83,286.24
  4. Step 4: Simplify right side
    282,991.76x = 35,341,813,008.13
  5. Step 5: Solve for x
    x = 35,341,813,008.13/282,991.76
  6. Step 6: Final answer
    x = 124,886.37

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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.