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Finding the Fourth Proportional to 282,881.36, 424,290.36 and 72,524.24

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Solution

The fourth proportional to 282,881.36, 424,290.36 and 72,524.24 is: 108,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,881.36 : 424,290.36 = 72,524.24 : x
  2. Step 2: Convert to fraction form
    282,881.36/424,290.36 = 72,524.24/x
  3. Step 3: Cross multiply
    282,881.36x = 424,290.36 × 72,524.24
  4. Step 4: Simplify right side
    282,881.36x = 30,771,335,898.33
  5. Step 5: Solve for x
    x = 30,771,335,898.33/282,881.36
  6. Step 6: Final answer
    x = 108,778.24

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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.