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Finding the Fourth Proportional to 416,308.07, 624,348.66 and 116,770.07

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Solution

The fourth proportional to 416,308.07, 624,348.66 and 116,770.07 is: 175,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,308.07 : 624,348.66 = 116,770.07 : x
  2. Step 2: Convert to fraction form
    416,308.07/624,348.66 = 116,770.07/x
  3. Step 3: Cross multiply
    416,308.07x = 624,348.66 × 116,770.07
  4. Step 4: Simplify right side
    416,308.07x = 72,905,236,732.61
  5. Step 5: Solve for x
    x = 72,905,236,732.61/416,308.07
  6. Step 6: Final answer
    x = 175,123.28

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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.