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Finding the Fourth Proportional to 456,298.88, 684,079.22 and 278,746

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Solution

The fourth proportional to 456,298.88, 684,079.22 and 278,746 is: 417,893.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,298.88 : 684,079.22 = 278,746 : x
  2. Step 2: Convert to fraction form
    456,298.88/684,079.22 = 278,746/x
  3. Step 3: Cross multiply
    456,298.88x = 684,079.22 × 278,746
  4. Step 4: Simplify right side
    456,298.88x = 190,684,346,258.12
  5. Step 5: Solve for x
    x = 190,684,346,258.12/456,298.88
  6. Step 6: Final answer
    x = 417,893.52

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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.