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Finding the Fourth Proportional to 564,499.22, 779,002.31 and 306,376.61

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Solution

The fourth proportional to 564,499.22, 779,002.31 and 306,376.61 is: 422,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,499.22 : 779,002.31 = 306,376.61 : x
  2. Step 2: Convert to fraction form
    564,499.22/779,002.31 = 306,376.61/x
  3. Step 3: Cross multiply
    564,499.22x = 779,002.31 × 306,376.61
  4. Step 4: Simplify right side
    564,499.22x = 238,668,081,493.08
  5. Step 5: Solve for x
    x = 238,668,081,493.08/564,499.22
  6. Step 6: Final answer
    x = 422,796.13

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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.