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Finding the Fourth Proportional to 333,804.28, 500,706.42 and 81,083.20

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Solution

The fourth proportional to 333,804.28, 500,706.42 and 81,083.20 is: 121,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,804.28 : 500,706.42 = 81,083.20 : x
  2. Step 2: Convert to fraction form
    333,804.28/500,706.42 = 81,083.20/x
  3. Step 3: Cross multiply
    333,804.28x = 500,706.42 × 81,083.20
  4. Step 4: Simplify right side
    333,804.28x = 40,598,878,794.14
  5. Step 5: Solve for x
    x = 40,598,878,794.14/333,804.28
  6. Step 6: Final answer
    x = 121,624.80

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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.