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Finding the Fourth Proportional to 580,097.14, 870,169.31 and 276,335.15

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Solution

The fourth proportional to 580,097.14, 870,169.31 and 276,335.15 is: 414,513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,097.14 : 870,169.31 = 276,335.15 : x
  2. Step 2: Convert to fraction form
    580,097.14/870,169.31 = 276,335.15/x
  3. Step 3: Cross multiply
    580,097.14x = 870,169.31 × 276,335.15
  4. Step 4: Simplify right side
    580,097.14x = 240,458,369,670.51
  5. Step 5: Solve for x
    x = 240,458,369,670.51/580,097.14
  6. Step 6: Final answer
    x = 414,513.97

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Why These Related Problems?

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