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Finding the Fourth Proportional to 333,895.96, 500,585.10 and 165,300.04

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Solution

The fourth proportional to 333,895.96, 500,585.10 and 165,300.04 is: 247,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,895.96 : 500,585.10 = 165,300.04 : x
  2. Step 2: Convert to fraction form
    333,895.96/500,585.10 = 165,300.04/x
  3. Step 3: Cross multiply
    333,895.96x = 500,585.10 × 165,300.04
  4. Step 4: Simplify right side
    333,895.96x = 82,746,737,053.40
  5. Step 5: Solve for x
    x = 82,746,737,053.40/333,895.96
  6. Step 6: Final answer
    x = 247,821.92

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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.