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Finding the Fourth Proportional to 520,041.90, 780,138.45 and 220,521.90

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Solution

The fourth proportional to 520,041.90, 780,138.45 and 220,521.90 is: 330,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,041.90 : 780,138.45 = 220,521.90 : x
  2. Step 2: Convert to fraction form
    520,041.90/780,138.45 = 220,521.90/x
  3. Step 3: Cross multiply
    520,041.90x = 780,138.45 × 220,521.90
  4. Step 4: Simplify right side
    520,041.90x = 172,037,613,257.06
  5. Step 5: Solve for x
    x = 172,037,613,257.06/520,041.90
  6. Step 6: Final answer
    x = 330,814.91

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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.