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Finding the Fourth Proportional to 259,319.40, 389,270.70 and 200,416.20

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Solution

The fourth proportional to 259,319.40, 389,270.70 and 200,416.20 is: 300,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,319.40 : 389,270.70 = 200,416.20 : x
  2. Step 2: Convert to fraction form
    259,319.40/389,270.70 = 200,416.20/x
  3. Step 3: Cross multiply
    259,319.40x = 389,270.70 × 200,416.20
  4. Step 4: Simplify right side
    259,319.40x = 78,016,154,465.34
  5. Step 5: Solve for x
    x = 78,016,154,465.34/259,319.40
  6. Step 6: Final answer
    x = 300,849.66

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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.