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Finding the Fourth Proportional to 313,675.47, 469,881.70 and 144,963.45

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Solution

The fourth proportional to 313,675.47, 469,881.70 and 144,963.45 is: 217,153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,675.47 : 469,881.70 = 144,963.45 : x
  2. Step 2: Convert to fraction form
    313,675.47/469,881.70 = 144,963.45/x
  3. Step 3: Cross multiply
    313,675.47x = 469,881.70 × 144,963.45
  4. Step 4: Simplify right side
    313,675.47x = 68,115,671,961.46
  5. Step 5: Solve for x
    x = 68,115,671,961.46/313,675.47
  6. Step 6: Final answer
    x = 217,153.33

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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.