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Finding the Fourth Proportional to 261,565.20, 392,347.80 and 209,077.20

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Solution

The fourth proportional to 261,565.20, 392,347.80 and 209,077.20 is: 313,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,565.20 : 392,347.80 = 209,077.20 : x
  2. Step 2: Convert to fraction form
    261,565.20/392,347.80 = 209,077.20/x
  3. Step 3: Cross multiply
    261,565.20x = 392,347.80 × 209,077.20
  4. Step 4: Simplify right side
    261,565.20x = 82,030,979,450.16
  5. Step 5: Solve for x
    x = 82,030,979,450.16/261,565.20
  6. Step 6: Final answer
    x = 313,615.80

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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.