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Finding the Fourth Proportional to 261,648.20, 392,472.30 and 209,160.20

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Solution

The fourth proportional to 261,648.20, 392,472.30 and 209,160.20 is: 313,740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,648.20 : 392,472.30 = 209,160.20 : x
  2. Step 2: Convert to fraction form
    261,648.20/392,472.30 = 209,160.20/x
  3. Step 3: Cross multiply
    261,648.20x = 392,472.30 × 209,160.20
  4. Step 4: Simplify right side
    261,648.20x = 82,089,584,762.46
  5. Step 5: Solve for x
    x = 82,089,584,762.46/261,648.20
  6. Step 6: Final answer
    x = 313,740.30

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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.