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Finding the Fourth Proportional to 576,546.48, 864,865.80 and 202,653.36

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Solution

The fourth proportional to 576,546.48, 864,865.80 and 202,653.36 is: 303,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,546.48 : 864,865.80 = 202,653.36 : x
  2. Step 2: Convert to fraction form
    576,546.48/864,865.80 = 202,653.36/x
  3. Step 3: Cross multiply
    576,546.48x = 864,865.80 × 202,653.36
  4. Step 4: Simplify right side
    576,546.48x = 175,267,960,319.09
  5. Step 5: Solve for x
    x = 175,267,960,319.09/576,546.48
  6. Step 6: Final answer
    x = 303,996.24

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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.