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Finding the Fourth Proportional to 261,423.20, 392,523.60 and 202,325.60

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Solution

The fourth proportional to 261,423.20, 392,523.60 and 202,325.60 is: 303,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,423.20 : 392,523.60 = 202,325.60 : x
  2. Step 2: Convert to fraction form
    261,423.20/392,523.60 = 202,325.60/x
  3. Step 3: Cross multiply
    261,423.20x = 392,523.60 × 202,325.60
  4. Step 4: Simplify right side
    261,423.20x = 79,417,572,884.16
  5. Step 5: Solve for x
    x = 79,417,572,884.16/261,423.20
  6. Step 6: Final answer
    x = 303,789.31

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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.