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Finding the Fourth Proportional to 466,532.75, 699,774.52 and 229,795.47

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Solution

The fourth proportional to 466,532.75, 699,774.52 and 229,795.47 is: 344,681.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,532.75 : 699,774.52 = 229,795.47 : x
  2. Step 2: Convert to fraction form
    466,532.75/699,774.52 = 229,795.47/x
  3. Step 3: Cross multiply
    466,532.75x = 699,774.52 × 229,795.47
  4. Step 4: Simplify right side
    466,532.75x = 160,805,014,717.42
  5. Step 5: Solve for x
    x = 160,805,014,717.42/466,532.75
  6. Step 6: Final answer
    x = 344,681.09

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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.