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Finding the Fourth Proportional to 347,097.56, 520,593.73 and 119,427.80

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Solution

The fourth proportional to 347,097.56, 520,593.73 and 119,427.80 is: 179,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,097.56 : 520,593.73 = 119,427.80 : x
  2. Step 2: Convert to fraction form
    347,097.56/520,593.73 = 119,427.80/x
  3. Step 3: Cross multiply
    347,097.56x = 520,593.73 × 119,427.80
  4. Step 4: Simplify right side
    347,097.56x = 62,173,360,966.16
  5. Step 5: Solve for x
    x = 62,173,360,966.16/347,097.56
  6. Step 6: Final answer
    x = 179,123.59

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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.