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Finding the Fourth Proportional to 333,726.90, 500,644.94 and 109,022.10

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Solution

The fourth proportional to 333,726.90, 500,644.94 and 109,022.10 is: 163,550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,726.90 : 500,644.94 = 109,022.10 : x
  2. Step 2: Convert to fraction form
    333,726.90/500,644.94 = 109,022.10/x
  3. Step 3: Cross multiply
    333,726.90x = 500,644.94 × 109,022.10
  4. Step 4: Simplify right side
    333,726.90x = 54,581,362,168.06
  5. Step 5: Solve for x
    x = 54,581,362,168.06/333,726.90
  6. Step 6: Final answer
    x = 163,550.98

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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.