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Finding the Fourth Proportional to 559,842.32, 839,763.52 and 185,865.32

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Solution

The fourth proportional to 559,842.32, 839,763.52 and 185,865.32 is: 278,797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,842.32 : 839,763.52 = 185,865.32 : x
  2. Step 2: Convert to fraction form
    559,842.32/839,763.52 = 185,865.32/x
  3. Step 3: Cross multiply
    559,842.32x = 839,763.52 × 185,865.32
  4. Step 4: Simplify right side
    559,842.32x = 156,082,915,369.13
  5. Step 5: Solve for x
    x = 156,082,915,369.13/559,842.32
  6. Step 6: Final answer
    x = 278,797.99

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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.