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Finding the Fourth Proportional to 423,022.56, 583,768.08 and 232,034.64

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Solution

The fourth proportional to 423,022.56, 583,768.08 and 232,034.64 is: 320,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,022.56 : 583,768.08 = 232,034.64 : x
  2. Step 2: Convert to fraction form
    423,022.56/583,768.08 = 232,034.64/x
  3. Step 3: Cross multiply
    423,022.56x = 583,768.08 × 232,034.64
  4. Step 4: Simplify right side
    423,022.56x = 135,454,416,286.29
  5. Step 5: Solve for x
    x = 135,454,416,286.29/423,022.56
  6. Step 6: Final answer
    x = 320,206.13

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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.