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Finding the Fourth Proportional to 520,081.90, 780,122.85 and 462,021.10

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Solution

The fourth proportional to 520,081.90, 780,122.85 and 462,021.10 is: 693,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,081.90 : 780,122.85 = 462,021.10 : x
  2. Step 2: Convert to fraction form
    520,081.90/780,122.85 = 462,021.10/x
  3. Step 3: Cross multiply
    520,081.90x = 780,122.85 × 462,021.10
  4. Step 4: Simplify right side
    520,081.90x = 360,433,217,292.14
  5. Step 5: Solve for x
    x = 360,433,217,292.14/520,081.90
  6. Step 6: Final answer
    x = 693,031.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.