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Finding the Fourth Proportional to 401,983.52, 554,696.16 and 232,272.32

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Solution

The fourth proportional to 401,983.52, 554,696.16 and 232,272.32 is: 320,512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,983.52 : 554,696.16 = 232,272.32 : x
  2. Step 2: Convert to fraction form
    401,983.52/554,696.16 = 232,272.32/x
  3. Step 3: Cross multiply
    401,983.52x = 554,696.16 × 232,272.32
  4. Step 4: Simplify right side
    401,983.52x = 128,840,563,978.29
  5. Step 5: Solve for x
    x = 128,840,563,978.29/401,983.52
  6. Step 6: Final answer
    x = 320,512.05

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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.