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Finding the Fourth Proportional to 456,297.88, 684,077.72 and 278,745

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Solution

The fourth proportional to 456,297.88, 684,077.72 and 278,745 is: 417,892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,297.88 : 684,077.72 = 278,745 : x
  2. Step 2: Convert to fraction form
    456,297.88/684,077.72 = 278,745/x
  3. Step 3: Cross multiply
    456,297.88x = 684,077.72 × 278,745
  4. Step 4: Simplify right side
    456,297.88x = 190,683,244,061.40
  5. Step 5: Solve for x
    x = 190,683,244,061.40/456,297.88
  6. Step 6: Final answer
    x = 417,892.02

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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.