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Finding the Fourth Proportional to 335,178.70, 462,646.32 and 192,034.06

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Solution

The fourth proportional to 335,178.70, 462,646.32 and 192,034.06 is: 265,064.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,178.70 : 462,646.32 = 192,034.06 : x
  2. Step 2: Convert to fraction form
    335,178.70/462,646.32 = 192,034.06/x
  3. Step 3: Cross multiply
    335,178.70x = 462,646.32 × 192,034.06
  4. Step 4: Simplify right side
    335,178.70x = 88,843,851,173.66
  5. Step 5: Solve for x
    x = 88,843,851,173.66/335,178.70
  6. Step 6: Final answer
    x = 265,064.13

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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.