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Finding the Fourth Proportional to 282,969.23, 424,407.71 and 83,242.91

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Solution

The fourth proportional to 282,969.23, 424,407.71 and 83,242.91 is: 124,850.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,969.23 : 424,407.71 = 83,242.91 : x
  2. Step 2: Convert to fraction form
    282,969.23/424,407.71 = 83,242.91/x
  3. Step 3: Cross multiply
    282,969.23x = 424,407.71 × 83,242.91
  4. Step 4: Simplify right side
    282,969.23x = 35,328,930,268.58
  5. Step 5: Solve for x
    x = 35,328,930,268.58/282,969.23
  6. Step 6: Final answer
    x = 124,850.79

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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.