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Finding the Fourth Proportional to 294,026.52, 440,987.09 and 77,886.68

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Solution

The fourth proportional to 294,026.52, 440,987.09 and 77,886.68 is: 116,816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,026.52 : 440,987.09 = 77,886.68 : x
  2. Step 2: Convert to fraction form
    294,026.52/440,987.09 = 77,886.68/x
  3. Step 3: Cross multiply
    294,026.52x = 440,987.09 × 77,886.68
  4. Step 4: Simplify right side
    294,026.52x = 34,347,020,249.14
  5. Step 5: Solve for x
    x = 34,347,020,249.14/294,026.52
  6. Step 6: Final answer
    x = 116,816.06

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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.