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Finding the Fourth Proportional to 522,396, 783,602.64 and 226,908

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Solution

The fourth proportional to 522,396, 783,602.64 and 226,908 is: 340,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,396 : 783,602.64 = 226,908 : x
  2. Step 2: Convert to fraction form
    522,396/783,602.64 = 226,908/x
  3. Step 3: Cross multiply
    522,396x = 783,602.64 × 226,908
  4. Step 4: Simplify right side
    522,396x = 177,805,707,837.12
  5. Step 5: Solve for x
    x = 177,805,707,837.12/522,396
  6. Step 6: Final answer
    x = 340,365.75

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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.