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Finding the Fourth Proportional to 513,903.76, 770,412.66 and 198,581.92

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Solution

The fourth proportional to 513,903.76, 770,412.66 and 198,581.92 is: 297,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,903.76 : 770,412.66 = 198,581.92 : x
  2. Step 2: Convert to fraction form
    513,903.76/770,412.66 = 198,581.92/x
  3. Step 3: Cross multiply
    513,903.76x = 770,412.66 × 198,581.92
  4. Step 4: Simplify right side
    513,903.76x = 152,990,025,215.11
  5. Step 5: Solve for x
    x = 152,990,025,215.11/513,903.76
  6. Step 6: Final answer
    x = 297,701.70

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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.