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Finding the Fourth Proportional to 564,709.08, 846,883.98 and 185,542.42

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Solution

The fourth proportional to 564,709.08, 846,883.98 and 185,542.42 is: 278,254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,709.08 : 846,883.98 = 185,542.42 : x
  2. Step 2: Convert to fraction form
    564,709.08/846,883.98 = 185,542.42/x
  3. Step 3: Cross multiply
    564,709.08x = 846,883.98 × 185,542.42
  4. Step 4: Simplify right side
    564,709.08x = 157,132,903,108.43
  5. Step 5: Solve for x
    x = 157,132,903,108.43/564,709.08
  6. Step 6: Final answer
    x = 278,254.61

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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.