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Finding the Fourth Proportional to 513,341.40, 770,143.32 and 197,713.56

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Solution

The fourth proportional to 513,341.40, 770,143.32 and 197,713.56 is: 296,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,341.40 : 770,143.32 = 197,713.56 : x
  2. Step 2: Convert to fraction form
    513,341.40/770,143.32 = 197,713.56/x
  3. Step 3: Cross multiply
    513,341.40x = 770,143.32 × 197,713.56
  4. Step 4: Simplify right side
    513,341.40x = 152,267,777,507.42
  5. Step 5: Solve for x
    x = 152,267,777,507.42/513,341.40
  6. Step 6: Final answer
    x = 296,620.88

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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.