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Finding the Fourth Proportional to 367,326.30, 506,961.45 and 204,019.50

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Solution

The fourth proportional to 367,326.30, 506,961.45 and 204,019.50 is: 281,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,326.30 : 506,961.45 = 204,019.50 : x
  2. Step 2: Convert to fraction form
    367,326.30/506,961.45 = 204,019.50/x
  3. Step 3: Cross multiply
    367,326.30x = 506,961.45 × 204,019.50
  4. Step 4: Simplify right side
    367,326.30x = 103,430,021,548.28
  5. Step 5: Solve for x
    x = 103,430,021,548.28/367,326.30
  6. Step 6: Final answer
    x = 281,575.32

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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.