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Finding the Fourth Proportional to 409,694.90, 614,542.35 and 114,206.90

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Solution

The fourth proportional to 409,694.90, 614,542.35 and 114,206.90 is: 171,310.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,694.90 : 614,542.35 = 114,206.90 : x
  2. Step 2: Convert to fraction form
    409,694.90/614,542.35 = 114,206.90/x
  3. Step 3: Cross multiply
    409,694.90x = 614,542.35 × 114,206.90
  4. Step 4: Simplify right side
    409,694.90x = 70,184,976,712.22
  5. Step 5: Solve for x
    x = 70,184,976,712.22/409,694.90
  6. Step 6: Final answer
    x = 171,310.35

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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.