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Finding the Fourth Proportional to 282,967.05, 424,304.48 and 83,261.48

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Solution

The fourth proportional to 282,967.05, 424,304.48 and 83,261.48 is: 124,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,967.05 : 424,304.48 = 83,261.48 : x
  2. Step 2: Convert to fraction form
    282,967.05/424,304.48 = 83,261.48/x
  3. Step 3: Cross multiply
    282,967.05x = 424,304.48 × 83,261.48
  4. Step 4: Simplify right side
    282,967.05x = 35,328,220,104.00
  5. Step 5: Solve for x
    x = 35,328,220,104.00/282,967.05
  6. Step 6: Final answer
    x = 124,849.24

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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.