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Finding the Fourth Proportional to 564,819.44, 847,393.16 and 227,686.12

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Solution

The fourth proportional to 564,819.44, 847,393.16 and 227,686.12 is: 341,595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,819.44 : 847,393.16 = 227,686.12 : x
  2. Step 2: Convert to fraction form
    564,819.44/847,393.16 = 227,686.12/x
  3. Step 3: Cross multiply
    564,819.44x = 847,393.16 × 227,686.12
  4. Step 4: Simplify right side
    564,819.44x = 192,939,660,714.94
  5. Step 5: Solve for x
    x = 192,939,660,714.94/564,819.44
  6. Step 6: Final answer
    x = 341,595.29

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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.