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Finding the Fourth Proportional to 283,264.16, 424,969.14 and 83,576.48

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Solution

The fourth proportional to 283,264.16, 424,969.14 and 83,576.48 is: 125,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,264.16 : 424,969.14 = 83,576.48 : x
  2. Step 2: Convert to fraction form
    283,264.16/424,969.14 = 83,576.48/x
  3. Step 3: Cross multiply
    283,264.16x = 424,969.14 × 83,576.48
  4. Step 4: Simplify right side
    283,264.16x = 35,517,424,829.83
  5. Step 5: Solve for x
    x = 35,517,424,829.83/283,264.16
  6. Step 6: Final answer
    x = 125,386.23

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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.