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Finding the Fourth Proportional to 367,327.80, 506,848.32 and 206,189.64

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Solution

The fourth proportional to 367,327.80, 506,848.32 and 206,189.64 is: 284,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,327.80 : 506,848.32 = 206,189.64 : x
  2. Step 2: Convert to fraction form
    367,327.80/506,848.32 = 206,189.64/x
  3. Step 3: Cross multiply
    367,327.80x = 506,848.32 × 206,189.64
  4. Step 4: Simplify right side
    367,327.80x = 104,506,872,635.41
  5. Step 5: Solve for x
    x = 104,506,872,635.41/367,327.80
  6. Step 6: Final answer
    x = 284,505.75

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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.