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Finding the Fourth Proportional to 304,805.28, 457,240.32 and 94,459.68

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Solution

The fourth proportional to 304,805.28, 457,240.32 and 94,459.68 is: 141,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,805.28 : 457,240.32 = 94,459.68 : x
  2. Step 2: Convert to fraction form
    304,805.28/457,240.32 = 94,459.68/x
  3. Step 3: Cross multiply
    304,805.28x = 457,240.32 × 94,459.68
  4. Step 4: Simplify right side
    304,805.28x = 43,190,774,310.30
  5. Step 5: Solve for x
    x = 43,190,774,310.30/304,805.28
  6. Step 6: Final answer
    x = 141,699.56

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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.