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Finding the Fourth Proportional to 559,470.56, 839,204.87 and 138,746.43

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Solution

The fourth proportional to 559,470.56, 839,204.87 and 138,746.43 is: 208,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,470.56 : 839,204.87 = 138,746.43 : x
  2. Step 2: Convert to fraction form
    559,470.56/839,204.87 = 138,746.43/x
  3. Step 3: Cross multiply
    559,470.56x = 839,204.87 × 138,746.43
  4. Step 4: Simplify right side
    559,470.56x = 116,436,679,057.38
  5. Step 5: Solve for x
    x = 116,436,679,057.38/559,470.56
  6. Step 6: Final answer
    x = 208,119.41

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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.