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Finding the Fourth Proportional to 501,539.85, 752,309.78 and 301,757.40

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Solution

The fourth proportional to 501,539.85, 752,309.78 and 301,757.40 is: 452,636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,539.85 : 752,309.78 = 301,757.40 : x
  2. Step 2: Convert to fraction form
    501,539.85/752,309.78 = 301,757.40/x
  3. Step 3: Cross multiply
    501,539.85x = 752,309.78 × 301,757.40
  4. Step 4: Simplify right side
    501,539.85x = 227,015,041,698.59
  5. Step 5: Solve for x
    x = 227,015,041,698.59/501,539.85
  6. Step 6: Final answer
    x = 452,636.10

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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.