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Finding the Fourth Proportional to 357,215.98, 492,964.41 and 196,086.01

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Solution

The fourth proportional to 357,215.98, 492,964.41 and 196,086.01 is: 270,602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,215.98 : 492,964.41 = 196,086.01 : x
  2. Step 2: Convert to fraction form
    357,215.98/492,964.41 = 196,086.01/x
  3. Step 3: Cross multiply
    357,215.98x = 492,964.41 × 196,086.01
  4. Step 4: Simplify right side
    357,215.98x = 96,663,424,228.90
  5. Step 5: Solve for x
    x = 96,663,424,228.90/357,215.98
  6. Step 6: Final answer
    x = 270,602.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.