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Finding the Fourth Proportional to 565,870.47, 848,861.19 and 206,139.12

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Solution

The fourth proportional to 565,870.47, 848,861.19 and 206,139.12 is: 309,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,870.47 : 848,861.19 = 206,139.12 : x
  2. Step 2: Convert to fraction form
    565,870.47/848,861.19 = 206,139.12/x
  3. Step 3: Cross multiply
    565,870.47x = 848,861.19 × 206,139.12
  4. Step 4: Simplify right side
    565,870.47x = 174,983,498,708.75
  5. Step 5: Solve for x
    x = 174,983,498,708.75/565,870.47
  6. Step 6: Final answer
    x = 309,228.89

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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.