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Finding the Fourth Proportional to 564,198.80, 845,758.80 and 209,117.60

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Solution

The fourth proportional to 564,198.80, 845,758.80 and 209,117.60 is: 313,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,198.80 : 845,758.80 = 209,117.60 : x
  2. Step 2: Convert to fraction form
    564,198.80/845,758.80 = 209,117.60/x
  3. Step 3: Cross multiply
    564,198.80x = 845,758.80 × 209,117.60
  4. Step 4: Simplify right side
    564,198.80x = 176,863,050,434.88
  5. Step 5: Solve for x
    x = 176,863,050,434.88/564,198.80
  6. Step 6: Final answer
    x = 313,476.47

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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.