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Finding the Fourth Proportional to 304,705.66, 456,809.13 and 115,058.44

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Solution

The fourth proportional to 304,705.66, 456,809.13 and 115,058.44 is: 172,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,705.66 : 456,809.13 = 115,058.44 : x
  2. Step 2: Convert to fraction form
    304,705.66/456,809.13 = 115,058.44/x
  3. Step 3: Cross multiply
    304,705.66x = 456,809.13 × 115,058.44
  4. Step 4: Simplify right side
    304,705.66x = 52,559,745,875.56
  5. Step 5: Solve for x
    x = 52,559,745,875.56/304,705.66
  6. Step 6: Final answer
    x = 172,493.50

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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.