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Finding the Fourth Proportional to 261,994.80, 392,992.20 and 209,506.80

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Solution

The fourth proportional to 261,994.80, 392,992.20 and 209,506.80 is: 314,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,994.80 : 392,992.20 = 209,506.80 : x
  2. Step 2: Convert to fraction form
    261,994.80/392,992.20 = 209,506.80/x
  3. Step 3: Cross multiply
    261,994.80x = 392,992.20 × 209,506.80
  4. Step 4: Simplify right side
    261,994.80x = 82,334,538,246.96
  5. Step 5: Solve for x
    x = 82,334,538,246.96/261,994.80
  6. Step 6: Final answer
    x = 314,260.20

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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.