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Finding the Fourth Proportional to 261,566.20, 392,349.30 and 209,078.20

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Solution

The fourth proportional to 261,566.20, 392,349.30 and 209,078.20 is: 313,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,566.20 : 392,349.30 = 209,078.20 : x
  2. Step 2: Convert to fraction form
    261,566.20/392,349.30 = 209,078.20/x
  3. Step 3: Cross multiply
    261,566.20x = 392,349.30 × 209,078.20
  4. Step 4: Simplify right side
    261,566.20x = 82,031,685,415.26
  5. Step 5: Solve for x
    x = 82,031,685,415.26/261,566.20
  6. Step 6: Final answer
    x = 313,617.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.