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Finding the Fourth Proportional to 295,703.20, 408,070.40 and 161,567.20

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Solution

The fourth proportional to 295,703.20, 408,070.40 and 161,567.20 is: 222,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,703.20 : 408,070.40 = 161,567.20 : x
  2. Step 2: Convert to fraction form
    295,703.20/408,070.40 = 161,567.20/x
  3. Step 3: Cross multiply
    295,703.20x = 408,070.40 × 161,567.20
  4. Step 4: Simplify right side
    295,703.20x = 65,930,791,930.88
  5. Step 5: Solve for x
    x = 65,930,791,930.88/295,703.20
  6. Step 6: Final answer
    x = 222,962.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.