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Finding the Fourth Proportional to 438,294.61, 657,846.06 and 222,304.96

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Solution

The fourth proportional to 438,294.61, 657,846.06 and 222,304.96 is: 333,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,294.61 : 657,846.06 = 222,304.96 : x
  2. Step 2: Convert to fraction form
    438,294.61/657,846.06 = 222,304.96/x
  3. Step 3: Cross multiply
    438,294.61x = 657,846.06 × 222,304.96
  4. Step 4: Simplify right side
    438,294.61x = 146,242,442,054.46
  5. Step 5: Solve for x
    x = 146,242,442,054.46/438,294.61
  6. Step 6: Final answer
    x = 333,662.42

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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.