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Finding the Fourth Proportional to 414,005.40, 621,008.10 and 272,287.80

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Solution

The fourth proportional to 414,005.40, 621,008.10 and 272,287.80 is: 408,431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,005.40 : 621,008.10 = 272,287.80 : x
  2. Step 2: Convert to fraction form
    414,005.40/621,008.10 = 272,287.80/x
  3. Step 3: Cross multiply
    414,005.40x = 621,008.10 × 272,287.80
  4. Step 4: Simplify right side
    414,005.40x = 169,092,929,331.18
  5. Step 5: Solve for x
    x = 169,092,929,331.18/414,005.40
  6. Step 6: Final answer
    x = 408,431.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.