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Finding the Fourth Proportional to 384,304.48, 577,331.50 and 278,016.28

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Solution

The fourth proportional to 384,304.48, 577,331.50 and 278,016.28 is: 417,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,304.48 : 577,331.50 = 278,016.28 : x
  2. Step 2: Convert to fraction form
    384,304.48/577,331.50 = 278,016.28/x
  3. Step 3: Cross multiply
    384,304.48x = 577,331.50 × 278,016.28
  4. Step 4: Simplify right side
    384,304.48x = 160,507,555,956.82
  5. Step 5: Solve for x
    x = 160,507,555,956.82/384,304.48
  6. Step 6: Final answer
    x = 417,657.26

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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.