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Finding the Fourth Proportional to 313,159.47, 469,320.44 and 163,084.70

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Solution

The fourth proportional to 313,159.47, 469,320.44 and 163,084.70 is: 244,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,159.47 : 469,320.44 = 163,084.70 : x
  2. Step 2: Convert to fraction form
    313,159.47/469,320.44 = 163,084.70/x
  3. Step 3: Cross multiply
    313,159.47x = 469,320.44 × 163,084.70
  4. Step 4: Simplify right side
    313,159.47x = 76,538,979,999.24
  5. Step 5: Solve for x
    x = 76,538,979,999.24/313,159.47
  6. Step 6: Final answer
    x = 244,408.96

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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.