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Finding the Fourth Proportional to 520,098.40, 780,223.20 and 220,578.40

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Solution

The fourth proportional to 520,098.40, 780,223.20 and 220,578.40 is: 330,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,098.40 : 780,223.20 = 220,578.40 : x
  2. Step 2: Convert to fraction form
    520,098.40/780,223.20 = 220,578.40/x
  3. Step 3: Cross multiply
    520,098.40x = 780,223.20 × 220,578.40
  4. Step 4: Simplify right side
    520,098.40x = 172,100,385,098.88
  5. Step 5: Solve for x
    x = 172,100,385,098.88/520,098.40
  6. Step 6: Final answer
    x = 330,899.66

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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.