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Finding the Fourth Proportional to 520,085.02, 780,224.01 and 165,003.10

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Solution

The fourth proportional to 520,085.02, 780,224.01 and 165,003.10 is: 247,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,085.02 : 780,224.01 = 165,003.10 : x
  2. Step 2: Convert to fraction form
    520,085.02/780,224.01 = 165,003.10/x
  3. Step 3: Cross multiply
    520,085.02x = 780,224.01 × 165,003.10
  4. Step 4: Simplify right side
    520,085.02x = 128,739,380,344.43
  5. Step 5: Solve for x
    x = 128,739,380,344.43/520,085.02
  6. Step 6: Final answer
    x = 247,535.26

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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.