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Finding the Fourth Proportional to 360,840.32, 497,964.16 and 199,694.96

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Solution

The fourth proportional to 360,840.32, 497,964.16 and 199,694.96 is: 275,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,840.32 : 497,964.16 = 199,694.96 : x
  2. Step 2: Convert to fraction form
    360,840.32/497,964.16 = 199,694.96/x
  3. Step 3: Cross multiply
    360,840.32x = 497,964.16 × 199,694.96
  4. Step 4: Simplify right side
    360,840.32x = 99,440,933,012.63
  5. Step 5: Solve for x
    x = 99,440,933,012.63/360,840.32
  6. Step 6: Final answer
    x = 275,581.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.