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Finding the Fourth Proportional to 401,013.17, 601,472.93 and 161,117.36

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Solution

The fourth proportional to 401,013.17, 601,472.93 and 161,117.36 is: 241,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,013.17 : 601,472.93 = 161,117.36 : x
  2. Step 2: Convert to fraction form
    401,013.17/601,472.93 = 161,117.36/x
  3. Step 3: Cross multiply
    401,013.17x = 601,472.93 × 161,117.36
  4. Step 4: Simplify right side
    401,013.17x = 96,907,730,593.06
  5. Step 5: Solve for x
    x = 96,907,730,593.06/401,013.17
  6. Step 6: Final answer
    x = 241,657.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.