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Finding the Fourth Proportional to 387,926.48, 535,359.72 and 218,170.64

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Solution

The fourth proportional to 387,926.48, 535,359.72 and 218,170.64 is: 301,087.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,926.48 : 535,359.72 = 218,170.64 : x
  2. Step 2: Convert to fraction form
    387,926.48/535,359.72 = 218,170.64/x
  3. Step 3: Cross multiply
    387,926.48x = 535,359.72 × 218,170.64
  4. Step 4: Simplify right side
    387,926.48x = 116,799,772,742.62
  5. Step 5: Solve for x
    x = 116,799,772,742.62/387,926.48
  6. Step 6: Final answer
    x = 301,087.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.