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Finding the Fourth Proportional to 538,098.76, 806,666.94 and 222,354.28

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Solution

The fourth proportional to 538,098.76, 806,666.94 and 222,354.28 is: 333,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,098.76 : 806,666.94 = 222,354.28 : x
  2. Step 2: Convert to fraction form
    538,098.76/806,666.94 = 222,354.28/x
  3. Step 3: Cross multiply
    538,098.76x = 806,666.94 × 222,354.28
  4. Step 4: Simplify right side
    538,098.76x = 179,365,846,643.50
  5. Step 5: Solve for x
    x = 179,365,846,643.50/538,098.76
  6. Step 6: Final answer
    x = 333,332.58

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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.