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Finding the Fourth Proportional to 564,733.80, 847,205.64 and 185,675.76

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Solution

The fourth proportional to 564,733.80, 847,205.64 and 185,675.76 is: 278,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,733.80 : 847,205.64 = 185,675.76 : x
  2. Step 2: Convert to fraction form
    564,733.80/847,205.64 = 185,675.76/x
  3. Step 3: Cross multiply
    564,733.80x = 847,205.64 × 185,675.76
  4. Step 4: Simplify right side
    564,733.80x = 157,305,551,083.29
  5. Step 5: Solve for x
    x = 157,305,551,083.29/564,733.80
  6. Step 6: Final answer
    x = 278,548.14

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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.