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Finding the Fourth Proportional to 313,263.84, 469,938.96 and 102,923.04

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Solution

The fourth proportional to 313,263.84, 469,938.96 and 102,923.04 is: 154,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,263.84 : 469,938.96 = 102,923.04 : x
  2. Step 2: Convert to fraction form
    313,263.84/469,938.96 = 102,923.04/x
  3. Step 3: Cross multiply
    313,263.84x = 469,938.96 × 102,923.04
  4. Step 4: Simplify right side
    313,263.84x = 48,367,546,377.64
  5. Step 5: Solve for x
    x = 48,367,546,377.64/313,263.84
  6. Step 6: Final answer
    x = 154,398.75

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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.