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Finding the Fourth Proportional to 261,996.30, 392,994.45 and 209,508.30

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Solution

The fourth proportional to 261,996.30, 392,994.45 and 209,508.30 is: 314,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,996.30 : 392,994.45 = 209,508.30 : x
  2. Step 2: Convert to fraction form
    261,996.30/392,994.45 = 209,508.30/x
  3. Step 3: Cross multiply
    261,996.30x = 392,994.45 × 209,508.30
  4. Step 4: Simplify right side
    261,996.30x = 82,335,599,128.94
  5. Step 5: Solve for x
    x = 82,335,599,128.94/261,996.30
  6. Step 6: Final answer
    x = 314,262.45

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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.