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Finding the Fourth Proportional to 310,024.08, 465,079.86 and 99,591.48

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Solution

The fourth proportional to 310,024.08, 465,079.86 and 99,591.48 is: 149,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,024.08 : 465,079.86 = 99,591.48 : x
  2. Step 2: Convert to fraction form
    310,024.08/465,079.86 = 99,591.48/x
  3. Step 3: Cross multiply
    310,024.08x = 465,079.86 × 99,591.48
  4. Step 4: Simplify right side
    310,024.08x = 46,317,991,575.59
  5. Step 5: Solve for x
    x = 46,317,991,575.59/310,024.08
  6. Step 6: Final answer
    x = 149,401.27

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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.