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Finding the Fourth Proportional to 360,486.06, 541,054.10 and 192,146.59

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Solution

The fourth proportional to 360,486.06, 541,054.10 and 192,146.59 is: 288,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,486.06 : 541,054.10 = 192,146.59 : x
  2. Step 2: Convert to fraction form
    360,486.06/541,054.10 = 192,146.59/x
  3. Step 3: Cross multiply
    360,486.06x = 541,054.10 × 192,146.59
  4. Step 4: Simplify right side
    360,486.06x = 103,961,700,036.10
  5. Step 5: Solve for x
    x = 103,961,700,036.10/360,486.06
  6. Step 6: Final answer
    x = 288,393.12

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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.