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Finding the Fourth Proportional to 303,694.16, 419,149.28 and 176,443.60

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Solution

The fourth proportional to 303,694.16, 419,149.28 and 176,443.60 is: 243,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,694.16 : 419,149.28 = 176,443.60 : x
  2. Step 2: Convert to fraction form
    303,694.16/419,149.28 = 176,443.60/x
  3. Step 3: Cross multiply
    303,694.16x = 419,149.28 × 176,443.60
  4. Step 4: Simplify right side
    303,694.16x = 73,956,207,900.61
  5. Step 5: Solve for x
    x = 73,956,207,900.61/303,694.16
  6. Step 6: Final answer
    x = 243,522.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.