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Finding the Fourth Proportional to 401,004.05, 601,533.76 and 116,696.96

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Solution

The fourth proportional to 401,004.05, 601,533.76 and 116,696.96 is: 175,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,004.05 : 601,533.76 = 116,696.96 : x
  2. Step 2: Convert to fraction form
    401,004.05/601,533.76 = 116,696.96/x
  3. Step 3: Cross multiply
    401,004.05x = 601,533.76 × 116,696.96
  4. Step 4: Simplify right side
    401,004.05x = 70,197,160,450.39
  5. Step 5: Solve for x
    x = 70,197,160,450.39/401,004.05
  6. Step 6: Final answer
    x = 175,053.49

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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.