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Finding the Fourth Proportional to 261,995.80, 392,993.70 and 209,507.80

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Solution

The fourth proportional to 261,995.80, 392,993.70 and 209,507.80 is: 314,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,995.80 : 392,993.70 = 209,507.80 : x
  2. Step 2: Convert to fraction form
    261,995.80/392,993.70 = 209,507.80/x
  3. Step 3: Cross multiply
    261,995.80x = 392,993.70 × 209,507.80
  4. Step 4: Simplify right side
    261,995.80x = 82,335,245,500.86
  5. Step 5: Solve for x
    x = 82,335,245,500.86/261,995.80
  6. Step 6: Final answer
    x = 314,261.70

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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.