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Finding the Fourth Proportional to 341,719.80, 512,579.70 and 191,964.98

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Solution

The fourth proportional to 341,719.80, 512,579.70 and 191,964.98 is: 287,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,719.80 : 512,579.70 = 191,964.98 : x
  2. Step 2: Convert to fraction form
    341,719.80/512,579.70 = 191,964.98/x
  3. Step 3: Cross multiply
    341,719.80x = 512,579.70 × 191,964.98
  4. Step 4: Simplify right side
    341,719.80x = 98,397,349,296.01
  5. Step 5: Solve for x
    x = 98,397,349,296.01/341,719.80
  6. Step 6: Final answer
    x = 287,947.46

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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.