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Finding the Fourth Proportional to 282,377.70, 423,566.70 and 177,270.48

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Solution

The fourth proportional to 282,377.70, 423,566.70 and 177,270.48 is: 265,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,377.70 : 423,566.70 = 177,270.48 : x
  2. Step 2: Convert to fraction form
    282,377.70/423,566.70 = 177,270.48/x
  3. Step 3: Cross multiply
    282,377.70x = 423,566.70 × 177,270.48
  4. Step 4: Simplify right side
    282,377.70x = 75,085,872,221.02
  5. Step 5: Solve for x
    x = 75,085,872,221.02/282,377.70
  6. Step 6: Final answer
    x = 265,905.81

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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.