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Finding the Fourth Proportional to 261,409.20, 392,502.60 and 202,311.60

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Solution

The fourth proportional to 261,409.20, 392,502.60 and 202,311.60 is: 303,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,409.20 : 392,502.60 = 202,311.60 : x
  2. Step 2: Convert to fraction form
    261,409.20/392,502.60 = 202,311.60/x
  3. Step 3: Cross multiply
    261,409.20x = 392,502.60 × 202,311.60
  4. Step 4: Simplify right side
    261,409.20x = 79,407,829,010.16
  5. Step 5: Solve for x
    x = 79,407,829,010.16/261,409.20
  6. Step 6: Final answer
    x = 303,768.30

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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.