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Finding the Fourth Proportional to 514,079.12, 770,994.48 and 198,334.64

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Solution

The fourth proportional to 514,079.12, 770,994.48 and 198,334.64 is: 297,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,079.12 : 770,994.48 = 198,334.64 : x
  2. Step 2: Convert to fraction form
    514,079.12/770,994.48 = 198,334.64/x
  3. Step 3: Cross multiply
    514,079.12x = 770,994.48 × 198,334.64
  4. Step 4: Simplify right side
    514,079.12x = 152,914,912,632.79
  5. Step 5: Solve for x
    x = 152,914,912,632.79/514,079.12
  6. Step 6: Final answer
    x = 297,454.04

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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.