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Finding the Fourth Proportional to 233,583.39, 322,009.16 and 166,398.75

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Solution

The fourth proportional to 233,583.39, 322,009.16 and 166,398.75 is: 229,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,583.39 : 322,009.16 = 166,398.75 : x
  2. Step 2: Convert to fraction form
    233,583.39/322,009.16 = 166,398.75/x
  3. Step 3: Cross multiply
    233,583.39x = 322,009.16 × 166,398.75
  4. Step 4: Simplify right side
    233,583.39x = 53,581,920,880.56
  5. Step 5: Solve for x
    x = 53,581,920,880.56/233,583.39
  6. Step 6: Final answer
    x = 229,390.97

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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.