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Finding the Fourth Proportional to 319,854.16, 479,783.48 and 109,493.84

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Solution

The fourth proportional to 319,854.16, 479,783.48 and 109,493.84 is: 164,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,854.16 : 479,783.48 = 109,493.84 : x
  2. Step 2: Convert to fraction form
    319,854.16/479,783.48 = 109,493.84/x
  3. Step 3: Cross multiply
    319,854.16x = 479,783.48 × 109,493.84
  4. Step 4: Simplify right side
    319,854.16x = 52,533,335,593.76
  5. Step 5: Solve for x
    x = 52,533,335,593.76/319,854.16
  6. Step 6: Final answer
    x = 164,241.53

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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.