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Finding the Fourth Proportional to 261,627.20, 392,440.80 and 209,139.20

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Solution

The fourth proportional to 261,627.20, 392,440.80 and 209,139.20 is: 313,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,627.20 : 392,440.80 = 209,139.20 : x
  2. Step 2: Convert to fraction form
    261,627.20/392,440.80 = 209,139.20/x
  3. Step 3: Cross multiply
    261,627.20x = 392,440.80 × 209,139.20
  4. Step 4: Simplify right side
    261,627.20x = 82,074,754,959.36
  5. Step 5: Solve for x
    x = 82,074,754,959.36/261,627.20
  6. Step 6: Final answer
    x = 313,708.80

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1.5x scale

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.