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Finding the Fourth Proportional to 520,081.40, 780,122.10 and 520,081.40

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Solution

The fourth proportional to 520,081.40, 780,122.10 and 520,081.40 is: 780,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,081.40 : 780,122.10 = 520,081.40 : x
  2. Step 2: Convert to fraction form
    520,081.40/780,122.10 = 520,081.40/x
  3. Step 3: Cross multiply
    520,081.40x = 780,122.10 × 520,081.40
  4. Step 4: Simplify right side
    520,081.40x = 405,726,993,938.94
  5. Step 5: Solve for x
    x = 405,726,993,938.94/520,081.40
  6. Step 6: Final answer
    x = 780,122.10

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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.