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Finding the Fourth Proportional to 414,373.62, 571,673.65 and 233,043.96

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Solution

The fourth proportional to 414,373.62, 571,673.65 and 233,043.96 is: 321,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,373.62 : 571,673.65 = 233,043.96 : x
  2. Step 2: Convert to fraction form
    414,373.62/571,673.65 = 233,043.96/x
  3. Step 3: Cross multiply
    414,373.62x = 571,673.65 × 233,043.96
  4. Step 4: Simplify right side
    414,373.62x = 133,225,091,223.65
  5. Step 5: Solve for x
    x = 133,225,091,223.65/414,373.62
  6. Step 6: Final answer
    x = 321,509.59

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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.