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Finding the Fourth Proportional to 333,504.06, 500,128.50 and 164,966.58

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Solution

The fourth proportional to 333,504.06, 500,128.50 and 164,966.58 is: 247,386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,504.06 : 500,128.50 = 164,966.58 : x
  2. Step 2: Convert to fraction form
    333,504.06/500,128.50 = 164,966.58/x
  3. Step 3: Cross multiply
    333,504.06x = 500,128.50 × 164,966.58
  4. Step 4: Simplify right side
    333,504.06x = 82,504,488,205.53
  5. Step 5: Solve for x
    x = 82,504,488,205.53/333,504.06
  6. Step 6: Final answer
    x = 247,386.76

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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.