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Finding the Fourth Proportional to 638,765.54, 958,348.16 and 189,488.75

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Solution

The fourth proportional to 638,765.54, 958,348.16 and 189,488.75 is: 284,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,765.54 : 958,348.16 = 189,488.75 : x
  2. Step 2: Convert to fraction form
    638,765.54/958,348.16 = 189,488.75/x
  3. Step 3: Cross multiply
    638,765.54x = 958,348.16 × 189,488.75
  4. Step 4: Simplify right side
    638,765.54x = 181,596,197,772.79
  5. Step 5: Solve for x
    x = 181,596,197,772.79/638,765.54
  6. Step 6: Final answer
    x = 284,292.42

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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.