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Finding the Fourth Proportional to 564,886.30, 847,446.07 and 165,540.10

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Solution

The fourth proportional to 564,886.30, 847,446.07 and 165,540.10 is: 248,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,886.30 : 847,446.07 = 165,540.10 : x
  2. Step 2: Convert to fraction form
    564,886.30/847,446.07 = 165,540.10/x
  3. Step 3: Cross multiply
    564,886.30x = 847,446.07 × 165,540.10
  4. Step 4: Simplify right side
    564,886.30x = 140,286,307,172.41
  5. Step 5: Solve for x
    x = 140,286,307,172.41/564,886.30
  6. Step 6: Final answer
    x = 248,344.33

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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.