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Finding the Fourth Proportional to 282,714.48, 424,071.36 and 72,352.44

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Solution

The fourth proportional to 282,714.48, 424,071.36 and 72,352.44 is: 108,528.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,714.48 : 424,071.36 = 72,352.44 : x
  2. Step 2: Convert to fraction form
    282,714.48/424,071.36 = 72,352.44/x
  3. Step 3: Cross multiply
    282,714.48x = 424,071.36 × 72,352.44
  4. Step 4: Simplify right side
    282,714.48x = 30,682,597,630.12
  5. Step 5: Solve for x
    x = 30,682,597,630.12/282,714.48
  6. Step 6: Final answer
    x = 108,528.57

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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.