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Finding the Fourth Proportional to 564,872.36, 847,315.38 and 165,521.23

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Solution

The fourth proportional to 564,872.36, 847,315.38 and 165,521.23 is: 248,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,872.36 : 847,315.38 = 165,521.23 : x
  2. Step 2: Convert to fraction form
    564,872.36/847,315.38 = 165,521.23/x
  3. Step 3: Cross multiply
    564,872.36x = 847,315.38 × 165,521.23
  4. Step 4: Simplify right side
    564,872.36x = 140,248,682,397.93
  5. Step 5: Solve for x
    x = 140,248,682,397.93/564,872.36
  6. Step 6: Final answer
    x = 248,283.85

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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.