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Finding the Fourth Proportional to 233,365.44, 349,821.60 and 185,864.64

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Solution

The fourth proportional to 233,365.44, 349,821.60 and 185,864.64 is: 278,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,365.44 : 349,821.60 = 185,864.64 : x
  2. Step 2: Convert to fraction form
    233,365.44/349,821.60 = 185,864.64/x
  3. Step 3: Cross multiply
    233,365.44x = 349,821.60 × 185,864.64
  4. Step 4: Simplify right side
    233,365.44x = 65,019,465,748.22
  5. Step 5: Solve for x
    x = 65,019,465,748.22/233,365.44
  6. Step 6: Final answer
    x = 278,616.52

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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.