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Finding the Fourth Proportional to 295,293.20, 442,939.80 and 206,646.80

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Solution

The fourth proportional to 295,293.20, 442,939.80 and 206,646.80 is: 309,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,293.20 : 442,939.80 = 206,646.80 : x
  2. Step 2: Convert to fraction form
    295,293.20/442,939.80 = 206,646.80/x
  3. Step 3: Cross multiply
    295,293.20x = 442,939.80 × 206,646.80
  4. Step 4: Simplify right side
    295,293.20x = 91,532,092,262.64
  5. Step 5: Solve for x
    x = 91,532,092,262.64/295,293.20
  6. Step 6: Final answer
    x = 309,970.20

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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.