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Finding the Fourth Proportional to 304,060.84, 456,165.47 and 214,278.62

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Solution

The fourth proportional to 304,060.84, 456,165.47 and 214,278.62 is: 321,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,060.84 : 456,165.47 = 214,278.62 : x
  2. Step 2: Convert to fraction form
    304,060.84/456,165.47 = 214,278.62/x
  3. Step 3: Cross multiply
    304,060.84x = 456,165.47 × 214,278.62
  4. Step 4: Simplify right side
    304,060.84x = 97,746,505,658.12
  5. Step 5: Solve for x
    x = 97,746,505,658.12/304,060.84
  6. Step 6: Final answer
    x = 321,470.22

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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.