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Finding the Fourth Proportional to 384,003.60, 575,832.60 and 147,267.60

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Solution

The fourth proportional to 384,003.60, 575,832.60 and 147,267.60 is: 220,835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,003.60 : 575,832.60 = 147,267.60 : x
  2. Step 2: Convert to fraction form
    384,003.60/575,832.60 = 147,267.60/x
  3. Step 3: Cross multiply
    384,003.60x = 575,832.60 × 147,267.60
  4. Step 4: Simplify right side
    384,003.60x = 84,801,485,003.76
  5. Step 5: Solve for x
    x = 84,801,485,003.76/384,003.60
  6. Step 6: Final answer
    x = 220,835.13

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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.