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Finding the Fourth Proportional to 313,040.97, 469,176.64 and 144,327.11

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Solution

The fourth proportional to 313,040.97, 469,176.64 and 144,327.11 is: 216,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,040.97 : 469,176.64 = 144,327.11 : x
  2. Step 2: Convert to fraction form
    313,040.97/469,176.64 = 144,327.11/x
  3. Step 3: Cross multiply
    313,040.97x = 469,176.64 × 144,327.11
  4. Step 4: Simplify right side
    313,040.97x = 67,714,905,824.01
  5. Step 5: Solve for x
    x = 67,714,905,824.01/313,040.97
  6. Step 6: Final answer
    x = 216,313.24

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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.