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Finding the Fourth Proportional to 300,733.47, 414,947.60 and 178,264.47

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Solution

The fourth proportional to 300,733.47, 414,947.60 and 178,264.47 is: 245,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,733.47 : 414,947.60 = 178,264.47 : x
  2. Step 2: Convert to fraction form
    300,733.47/414,947.60 = 178,264.47/x
  3. Step 3: Cross multiply
    300,733.47x = 414,947.60 × 178,264.47
  4. Step 4: Simplify right side
    300,733.47x = 73,970,413,991.77
  5. Step 5: Solve for x
    x = 73,970,413,991.77/300,733.47
  6. Step 6: Final answer
    x = 245,966.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.