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Finding the Fourth Proportional to 564,730.06, 847,199.04 and 185,672.20

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Solution

The fourth proportional to 564,730.06, 847,199.04 and 185,672.20 is: 278,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,730.06 : 847,199.04 = 185,672.20 : x
  2. Step 2: Convert to fraction form
    564,730.06/847,199.04 = 185,672.20/x
  3. Step 3: Cross multiply
    564,730.06x = 847,199.04 × 185,672.20
  4. Step 4: Simplify right side
    564,730.06x = 157,301,309,594.69
  5. Step 5: Solve for x
    x = 157,301,309,594.69/564,730.06
  6. Step 6: Final answer
    x = 278,542.48

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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.