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Finding the Fourth Proportional to 520,098.90, 780,150.78 and 220,504.20

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Solution

The fourth proportional to 520,098.90, 780,150.78 and 220,504.20 is: 330,757.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,098.90 : 780,150.78 = 220,504.20 : x
  2. Step 2: Convert to fraction form
    520,098.90/780,150.78 = 220,504.20/x
  3. Step 3: Cross multiply
    520,098.90x = 780,150.78 × 220,504.20
  4. Step 4: Simplify right side
    520,098.90x = 172,026,523,623.28
  5. Step 5: Solve for x
    x = 172,026,523,623.28/520,098.90
  6. Step 6: Final answer
    x = 330,757.33

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1.5x scale

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.