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Finding the Fourth Proportional to 401,574.36, 602,169.30 and 233,141.22

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Solution

The fourth proportional to 401,574.36, 602,169.30 and 233,141.22 is: 349,600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,574.36 : 602,169.30 = 233,141.22 : x
  2. Step 2: Convert to fraction form
    401,574.36/602,169.30 = 233,141.22/x
  3. Step 3: Cross multiply
    401,574.36x = 602,169.30 × 233,141.22
  4. Step 4: Simplify right side
    401,574.36x = 140,390,485,248.55
  5. Step 5: Solve for x
    x = 140,390,485,248.55/401,574.36
  6. Step 6: Final answer
    x = 349,600.22

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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.