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Finding the Fourth Proportional to 552,642.82, 762,643.29 and 314,178.82

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Solution

The fourth proportional to 552,642.82, 762,643.29 and 314,178.82 is: 433,564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,642.82 : 762,643.29 = 314,178.82 : x
  2. Step 2: Convert to fraction form
    552,642.82/762,643.29 = 314,178.82/x
  3. Step 3: Cross multiply
    552,642.82x = 762,643.29 × 314,178.82
  4. Step 4: Simplify right side
    552,642.82x = 239,606,368,933.12
  5. Step 5: Solve for x
    x = 239,606,368,933.12/552,642.82
  6. Step 6: Final answer
    x = 433,564.61

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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.