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Finding the Fourth Proportional to 468,092.16, 645,964.52 and 253,231.60

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Solution

The fourth proportional to 468,092.16, 645,964.52 and 253,231.60 is: 349,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,092.16 : 645,964.52 = 253,231.60 : x
  2. Step 2: Convert to fraction form
    468,092.16/645,964.52 = 253,231.60/x
  3. Step 3: Cross multiply
    468,092.16x = 645,964.52 × 253,231.60
  4. Step 4: Simplify right side
    468,092.16x = 163,578,628,942.83
  5. Step 5: Solve for x
    x = 163,578,628,942.83/468,092.16
  6. Step 6: Final answer
    x = 349,458.17

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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.