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Finding the Fourth Proportional to 401,164.96, 553,613.70 and 219,875.44

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Solution

The fourth proportional to 401,164.96, 553,613.70 and 219,875.44 is: 303,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,164.96 : 553,613.70 = 219,875.44 : x
  2. Step 2: Convert to fraction form
    401,164.96/553,613.70 = 219,875.44/x
  3. Step 3: Cross multiply
    401,164.96x = 553,613.70 × 219,875.44
  4. Step 4: Simplify right side
    401,164.96x = 121,726,055,877.53
  5. Step 5: Solve for x
    x = 121,726,055,877.53/401,164.96
  6. Step 6: Final answer
    x = 303,431.43

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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.