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Finding the Fourth Proportional to 314,468.28, 433,743.84 and 304,053.30

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Solution

The fourth proportional to 314,468.28, 433,743.84 and 304,053.30 is: 419,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,468.28 : 433,743.84 = 304,053.30 : x
  2. Step 2: Convert to fraction form
    314,468.28/433,743.84 = 304,053.30/x
  3. Step 3: Cross multiply
    314,468.28x = 433,743.84 × 304,053.30
  4. Step 4: Simplify right side
    314,468.28x = 131,881,245,906.67
  5. Step 5: Solve for x
    x = 131,881,245,906.67/314,468.28
  6. Step 6: Final answer
    x = 419,378.53

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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.