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Finding the Fourth Proportional to 314,385.28, 433,723.44 and 193,490.08

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Solution

The fourth proportional to 314,385.28, 433,723.44 and 193,490.08 is: 266,937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,385.28 : 433,723.44 = 193,490.08 : x
  2. Step 2: Convert to fraction form
    314,385.28/433,723.44 = 193,490.08/x
  3. Step 3: Cross multiply
    314,385.28x = 433,723.44 × 193,490.08
  4. Step 4: Simplify right side
    314,385.28x = 83,921,183,103.48
  5. Step 5: Solve for x
    x = 83,921,183,103.48/314,385.28
  6. Step 6: Final answer
    x = 266,937.38

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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.