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Finding the Fourth Proportional to 383,822.98, 575,165.85 and 155,841.37

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Solution

The fourth proportional to 383,822.98, 575,165.85 and 155,841.37 is: 233,531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,822.98 : 575,165.85 = 155,841.37 : x
  2. Step 2: Convert to fraction form
    383,822.98/575,165.85 = 155,841.37/x
  3. Step 3: Cross multiply
    383,822.98x = 575,165.85 × 155,841.37
  4. Step 4: Simplify right side
    383,822.98x = 89,634,632,603.30
  5. Step 5: Solve for x
    x = 89,634,632,603.30/383,822.98
  6. Step 6: Final answer
    x = 233,531.18

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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.