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Finding the Fourth Proportional to 559,810.80, 839,716.20 and 185,833.80

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Solution

The fourth proportional to 559,810.80, 839,716.20 and 185,833.80 is: 278,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,810.80 : 839,716.20 = 185,833.80 : x
  2. Step 2: Convert to fraction form
    559,810.80/839,716.20 = 185,833.80/x
  3. Step 3: Cross multiply
    559,810.80x = 839,716.20 × 185,833.80
  4. Step 4: Simplify right side
    559,810.80x = 156,047,652,367.56
  5. Step 5: Solve for x
    x = 156,047,652,367.56/559,810.80
  6. Step 6: Final answer
    x = 278,750.70

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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.