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Finding the Fourth Proportional to 288,670.10, 433,005.15 and 194,191.70

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Solution

The fourth proportional to 288,670.10, 433,005.15 and 194,191.70 is: 291,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,670.10 : 433,005.15 = 194,191.70 : x
  2. Step 2: Convert to fraction form
    288,670.10/433,005.15 = 194,191.70/x
  3. Step 3: Cross multiply
    288,670.10x = 433,005.15 × 194,191.70
  4. Step 4: Simplify right side
    288,670.10x = 84,086,006,187.26
  5. Step 5: Solve for x
    x = 84,086,006,187.26/288,670.10
  6. Step 6: Final answer
    x = 291,287.55

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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.