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Finding the Fourth Proportional to 513,335.40, 770,134.32 and 197,707.56

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Solution

The fourth proportional to 513,335.40, 770,134.32 and 197,707.56 is: 296,611.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,335.40 : 770,134.32 = 197,707.56 : x
  2. Step 2: Convert to fraction form
    513,335.40/770,134.32 = 197,707.56/x
  3. Step 3: Cross multiply
    513,335.40x = 770,134.32 × 197,707.56
  4. Step 4: Simplify right side
    513,335.40x = 152,261,377,279.46
  5. Step 5: Solve for x
    x = 152,261,377,279.46/513,335.40
  6. Step 6: Final answer
    x = 296,611.88

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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.