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Finding the Fourth Proportional to 383,897.97, 575,305.65 and 181,277.91

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Solution

The fourth proportional to 383,897.97, 575,305.65 and 181,277.91 is: 271,661.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,897.97 : 575,305.65 = 181,277.91 : x
  2. Step 2: Convert to fraction form
    383,897.97/575,305.65 = 181,277.91/x
  3. Step 3: Cross multiply
    383,897.97x = 575,305.65 × 181,277.91
  4. Step 4: Simplify right side
    383,897.97x = 104,290,205,843.19
  5. Step 5: Solve for x
    x = 104,290,205,843.19/383,897.97
  6. Step 6: Final answer
    x = 271,661.26

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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.