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Finding the Fourth Proportional to 342,498.24, 513,747.36 and 185,719.50

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Solution

The fourth proportional to 342,498.24, 513,747.36 and 185,719.50 is: 278,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,498.24 : 513,747.36 = 185,719.50 : x
  2. Step 2: Convert to fraction form
    342,498.24/513,747.36 = 185,719.50/x
  3. Step 3: Cross multiply
    342,498.24x = 513,747.36 × 185,719.50
  4. Step 4: Simplify right side
    342,498.24x = 95,412,902,825.52
  5. Step 5: Solve for x
    x = 95,412,902,825.52/342,498.24
  6. Step 6: Final answer
    x = 278,579.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.