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Finding the Fourth Proportional to 382,014.79, 527,245.35 and 220,967.74

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Solution

The fourth proportional to 382,014.79, 527,245.35 and 220,967.74 is: 304,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,014.79 : 527,245.35 = 220,967.74 : x
  2. Step 2: Convert to fraction form
    382,014.79/527,245.35 = 220,967.74/x
  3. Step 3: Cross multiply
    382,014.79x = 527,245.35 × 220,967.74
  4. Step 4: Simplify right side
    382,014.79x = 116,504,213,415.01
  5. Step 5: Solve for x
    x = 116,504,213,415.01/382,014.79
  6. Step 6: Final answer
    x = 304,973.04

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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.