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Finding the Fourth Proportional to 342,494.20, 513,731.70 and 155,505.40

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Solution

The fourth proportional to 342,494.20, 513,731.70 and 155,505.40 is: 233,253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,494.20 : 513,731.70 = 155,505.40 : x
  2. Step 2: Convert to fraction form
    342,494.20/513,731.70 = 155,505.40/x
  3. Step 3: Cross multiply
    342,494.20x = 513,731.70 × 155,505.40
  4. Step 4: Simplify right side
    342,494.20x = 79,888,053,501.18
  5. Step 5: Solve for x
    x = 79,888,053,501.18/342,494.20
  6. Step 6: Final answer
    x = 233,253.74

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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.