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Finding the Fourth Proportional to 559,082.75, 842,358.51 and 505,842.98

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Solution

The fourth proportional to 559,082.75, 842,358.51 and 505,842.98 is: 762,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,082.75 : 842,358.51 = 505,842.98 : x
  2. Step 2: Convert to fraction form
    559,082.75/842,358.51 = 505,842.98/x
  3. Step 3: Cross multiply
    559,082.75x = 842,358.51 × 505,842.98
  4. Step 4: Simplify right side
    559,082.75x = 426,101,134,714.97
  5. Step 5: Solve for x
    x = 426,101,134,714.97/559,082.75
  6. Step 6: Final answer
    x = 762,143.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.