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Finding the Fourth Proportional to 401,047.39, 601,646.96 and 161,179.93

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Solution

The fourth proportional to 401,047.39, 601,646.96 and 161,179.93 is: 241,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,047.39 : 601,646.96 = 161,179.93 : x
  2. Step 2: Convert to fraction form
    401,047.39/601,646.96 = 161,179.93/x
  3. Step 3: Cross multiply
    401,047.39x = 601,646.96 × 161,179.93
  4. Step 4: Simplify right side
    401,047.39x = 96,973,414,897.51
  5. Step 5: Solve for x
    x = 96,973,414,897.51/401,047.39
  6. Step 6: Final answer
    x = 241,800.39

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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.