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Finding the Fourth Proportional to 435,135.65, 652,706.73 and 165,191.04

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Solution

The fourth proportional to 435,135.65, 652,706.73 and 165,191.04 is: 247,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,135.65 : 652,706.73 = 165,191.04 : x
  2. Step 2: Convert to fraction form
    435,135.65/652,706.73 = 165,191.04/x
  3. Step 3: Cross multiply
    435,135.65x = 652,706.73 × 165,191.04
  4. Step 4: Simplify right side
    435,135.65x = 107,821,303,543.70
  5. Step 5: Solve for x
    x = 107,821,303,543.70/435,135.65
  6. Step 6: Final answer
    x = 247,787.80

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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.