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Finding the Fourth Proportional to 870,138.54, 1,305,243.18 and 414,495.54

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Solution

The fourth proportional to 870,138.54, 1,305,243.18 and 414,495.54 is: 621,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,138.54 : 1,305,243.18 = 414,495.54 : x
  2. Step 2: Convert to fraction form
    870,138.54/1,305,243.18 = 414,495.54/x
  3. Step 3: Cross multiply
    870,138.54x = 1,305,243.18 × 414,495.54
  4. Step 4: Simplify right side
    870,138.54x = 541,017,476,725.42
  5. Step 5: Solve for x
    x = 541,017,476,725.42/870,138.54
  6. Step 6: Final answer
    x = 621,760.16

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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.