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Finding the Fourth Proportional to 342,316.28, 513,596.94 and 152,759.96

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Solution

The fourth proportional to 342,316.28, 513,596.94 and 152,759.96 is: 229,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,316.28 : 513,596.94 = 152,759.96 : x
  2. Step 2: Convert to fraction form
    342,316.28/513,596.94 = 152,759.96/x
  3. Step 3: Cross multiply
    342,316.28x = 513,596.94 × 152,759.96
  4. Step 4: Simplify right side
    342,316.28x = 78,457,048,010.52
  5. Step 5: Solve for x
    x = 78,457,048,010.52/342,316.28
  6. Step 6: Final answer
    x = 229,194.62

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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.