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Finding the Fourth Proportional to 402,797.58, 604,196.33 and 191,795.82

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Solution

The fourth proportional to 402,797.58, 604,196.33 and 191,795.82 is: 287,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,797.58 : 604,196.33 = 191,795.82 : x
  2. Step 2: Convert to fraction form
    402,797.58/604,196.33 = 191,795.82/x
  3. Step 3: Cross multiply
    402,797.58x = 604,196.33 × 191,795.82
  4. Step 4: Simplify right side
    402,797.58x = 115,882,329,594.36
  5. Step 5: Solve for x
    x = 115,882,329,594.36/402,797.58
  6. Step 6: Final answer
    x = 287,693.71

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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.