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Finding the Fourth Proportional to 333,984, 501,005.34 and 84,666

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Solution

The fourth proportional to 333,984, 501,005.34 and 84,666 is: 127,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,984 : 501,005.34 = 84,666 : x
  2. Step 2: Convert to fraction form
    333,984/501,005.34 = 84,666/x
  3. Step 3: Cross multiply
    333,984x = 501,005.34 × 84,666
  4. Step 4: Simplify right side
    333,984x = 42,418,118,116.44
  5. Step 5: Solve for x
    x = 42,418,118,116.44/333,984
  6. Step 6: Final answer
    x = 127,006.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.