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Finding the Fourth Proportional to 416,424.32, 624,885.33 and 382,544.95

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Solution

The fourth proportional to 416,424.32, 624,885.33 and 382,544.95 is: 574,046.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,424.32 : 624,885.33 = 382,544.95 : x
  2. Step 2: Convert to fraction form
    416,424.32/624,885.33 = 382,544.95/x
  3. Step 3: Cross multiply
    416,424.32x = 624,885.33 × 382,544.95
  4. Step 4: Simplify right side
    416,424.32x = 239,046,727,320.58
  5. Step 5: Solve for x
    x = 239,046,727,320.58/416,424.32
  6. Step 6: Final answer
    x = 574,046.03

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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.