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Finding the Fourth Proportional to 300,037.50, 414,034.74 and 164,046.20

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Solution

The fourth proportional to 300,037.50, 414,034.74 and 164,046.20 is: 226,374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,037.50 : 414,034.74 = 164,046.20 : x
  2. Step 2: Convert to fraction form
    300,037.50/414,034.74 = 164,046.20/x
  3. Step 3: Cross multiply
    300,037.50x = 414,034.74 × 164,046.20
  4. Step 4: Simplify right side
    300,037.50x = 67,920,823,694.81
  5. Step 5: Solve for x
    x = 67,920,823,694.81/300,037.50
  6. Step 6: Final answer
    x = 226,374.45

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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.