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Finding the Fourth Proportional to 363,514.47, 545,382.99 and 186,147.06

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Solution

The fourth proportional to 363,514.47, 545,382.99 and 186,147.06 is: 279,277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,514.47 : 545,382.99 = 186,147.06 : x
  2. Step 2: Convert to fraction form
    363,514.47/545,382.99 = 186,147.06/x
  3. Step 3: Cross multiply
    363,514.47x = 545,382.99 × 186,147.06
  4. Step 4: Simplify right side
    363,514.47x = 101,521,440,162.51
  5. Step 5: Solve for x
    x = 101,521,440,162.51/363,514.47
  6. Step 6: Final answer
    x = 279,277.58

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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.