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Finding the Fourth Proportional to 417,631.74, 626,549.46 and 133,322.33

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Solution

The fourth proportional to 417,631.74, 626,549.46 and 133,322.33 is: 200,016.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,631.74 : 626,549.46 = 133,322.33 : x
  2. Step 2: Convert to fraction form
    417,631.74/626,549.46 = 133,322.33/x
  3. Step 3: Cross multiply
    417,631.74x = 626,549.46 × 133,322.33
  4. Step 4: Simplify right side
    417,631.74x = 83,533,033,867.44
  5. Step 5: Solve for x
    x = 83,533,033,867.44/417,631.74
  6. Step 6: Final answer
    x = 200,016.01

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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.