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Finding the Fourth Proportional to 460,695.12, 691,135.56 and 194,455.92

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Solution

The fourth proportional to 460,695.12, 691,135.56 and 194,455.92 is: 291,723.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,695.12 : 691,135.56 = 194,455.92 : x
  2. Step 2: Convert to fraction form
    460,695.12/691,135.56 = 194,455.92/x
  3. Step 3: Cross multiply
    460,695.12x = 691,135.56 × 194,455.92
  4. Step 4: Simplify right side
    460,695.12x = 134,395,401,164.52
  5. Step 5: Solve for x
    x = 134,395,401,164.52/460,695.12
  6. Step 6: Final answer
    x = 291,723.08

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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.