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Finding the Fourth Proportional to 407,713.80, 611,570.70 and 295,156.20

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Solution

The fourth proportional to 407,713.80, 611,570.70 and 295,156.20 is: 442,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,713.80 : 611,570.70 = 295,156.20 : x
  2. Step 2: Convert to fraction form
    407,713.80/611,570.70 = 295,156.20/x
  3. Step 3: Cross multiply
    407,713.80x = 611,570.70 × 295,156.20
  4. Step 4: Simplify right side
    407,713.80x = 180,508,883,843.34
  5. Step 5: Solve for x
    x = 180,508,883,843.34/407,713.80
  6. Step 6: Final answer
    x = 442,734.30

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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.