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Finding the Fourth Proportional to 532,205.76, 798,714.72 and 195,565.44

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Solution

The fourth proportional to 532,205.76, 798,714.72 and 195,565.44 is: 293,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,205.76 : 798,714.72 = 195,565.44 : x
  2. Step 2: Convert to fraction form
    532,205.76/798,714.72 = 195,565.44/x
  3. Step 3: Cross multiply
    532,205.76x = 798,714.72 × 195,565.44
  4. Step 4: Simplify right side
    532,205.76x = 156,200,995,651.28
  5. Step 5: Solve for x
    x = 156,200,995,651.28/532,205.76
  6. Step 6: Final answer
    x = 293,497.38

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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.