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Finding the Fourth Proportional to 565,171.12, 847,754.52 and 144,446.32

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Solution

The fourth proportional to 565,171.12, 847,754.52 and 144,446.32 is: 216,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,171.12 : 847,754.52 = 144,446.32 : x
  2. Step 2: Convert to fraction form
    565,171.12/847,754.52 = 144,446.32/x
  3. Step 3: Cross multiply
    565,171.12x = 847,754.52 × 144,446.32
  4. Step 4: Simplify right side
    565,171.12x = 122,455,020,677.37
  5. Step 5: Solve for x
    x = 122,455,020,677.37/565,171.12
  6. Step 6: Final answer
    x = 216,668.93

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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.