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Finding the Fourth Proportional to 564,600.80, 847,031.04 and 165,232.16

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Solution

The fourth proportional to 564,600.80, 847,031.04 and 165,232.16 is: 247,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,600.80 : 847,031.04 = 165,232.16 : x
  2. Step 2: Convert to fraction form
    564,600.80/847,031.04 = 165,232.16/x
  3. Step 3: Cross multiply
    564,600.80x = 847,031.04 × 165,232.16
  4. Step 4: Simplify right side
    564,600.80x = 139,956,768,326.25
  5. Step 5: Solve for x
    x = 139,956,768,326.25/564,600.80
  6. Step 6: Final answer
    x = 247,886.24

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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.