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Finding the Fourth Proportional to 564,649.17, 846,794.13 and 185,481.93

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Solution

The fourth proportional to 564,649.17, 846,794.13 and 185,481.93 is: 278,163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,649.17 : 846,794.13 = 185,481.93 : x
  2. Step 2: Convert to fraction form
    564,649.17/846,794.13 = 185,481.93/x
  3. Step 3: Cross multiply
    564,649.17x = 846,794.13 × 185,481.93
  4. Step 4: Simplify right side
    564,649.17x = 157,065,009,545.07
  5. Step 5: Solve for x
    x = 157,065,009,545.07/564,649.17
  6. Step 6: Final answer
    x = 278,163.89

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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.