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Finding the Fourth Proportional to 282,400.83, 423,601.39 and 177,293.61

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Solution

The fourth proportional to 282,400.83, 423,601.39 and 177,293.61 is: 265,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,400.83 : 423,601.39 = 177,293.61 : x
  2. Step 2: Convert to fraction form
    282,400.83/423,601.39 = 177,293.61/x
  3. Step 3: Cross multiply
    282,400.83x = 423,601.39 × 177,293.61
  4. Step 4: Simplify right side
    282,400.83x = 75,101,817,516.11
  5. Step 5: Solve for x
    x = 75,101,817,516.11/282,400.83
  6. Step 6: Final answer
    x = 265,940.50

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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.