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Finding the Fourth Proportional to 279,385.96, 416,734.49 and 256,459.72

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Solution

The fourth proportional to 279,385.96, 416,734.49 and 256,459.72 is: 382,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,385.96 : 416,734.49 = 256,459.72 : x
  2. Step 2: Convert to fraction form
    279,385.96/416,734.49 = 256,459.72/x
  3. Step 3: Cross multiply
    279,385.96x = 416,734.49 × 256,459.72
  4. Step 4: Simplify right side
    279,385.96x = 106,875,610,619.74
  5. Step 5: Solve for x
    x = 106,875,610,619.74/279,385.96
  6. Step 6: Final answer
    x = 382,537.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.