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Finding the Fourth Proportional to 304,402.61, 456,167.19 and 171,002.21

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Solution

The fourth proportional to 304,402.61, 456,167.19 and 171,002.21 is: 256,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,402.61 : 456,167.19 = 171,002.21 : x
  2. Step 2: Convert to fraction form
    304,402.61/456,167.19 = 171,002.21/x
  3. Step 3: Cross multiply
    304,402.61x = 456,167.19 × 171,002.21
  4. Step 4: Simplify right side
    304,402.61x = 78,005,599,828.82
  5. Step 5: Solve for x
    x = 78,005,599,828.82/304,402.61
  6. Step 6: Final answer
    x = 256,257.99

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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.