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Finding the Fourth Proportional to 508,198.89, 701,312.49 and 314,568.00

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Solution

The fourth proportional to 508,198.89, 701,312.49 and 314,568.00 is: 434,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,198.89 : 701,312.49 = 314,568.00 : x
  2. Step 2: Convert to fraction form
    508,198.89/701,312.49 = 314,568.00/x
  3. Step 3: Cross multiply
    508,198.89x = 701,312.49 × 314,568.00
  4. Step 4: Simplify right side
    508,198.89x = 220,610,468,298.88
  5. Step 5: Solve for x
    x = 220,610,468,298.88/508,198.89
  6. Step 6: Final answer
    x = 434,102.62

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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.