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Finding the Fourth Proportional to 342,670.78, 513,667.09 and 162,439.65

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Solution

The fourth proportional to 342,670.78, 513,667.09 and 162,439.65 is: 243,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,670.78 : 513,667.09 = 162,439.65 : x
  2. Step 2: Convert to fraction form
    342,670.78/513,667.09 = 162,439.65/x
  3. Step 3: Cross multiply
    342,670.78x = 513,667.09 × 162,439.65
  4. Step 4: Simplify right side
    342,670.78x = 83,439,902,316.12
  5. Step 5: Solve for x
    x = 83,439,902,316.12/342,670.78
  6. Step 6: Final answer
    x = 243,498.74

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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.