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Finding the Fourth Proportional to 416,425, 624,886.28 and 382,545.33

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Solution

The fourth proportional to 416,425, 624,886.28 and 382,545.33 is: 574,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,425 : 624,886.28 = 382,545.33 : x
  2. Step 2: Convert to fraction form
    416,425/624,886.28 = 382,545.33/x
  3. Step 3: Cross multiply
    416,425x = 624,886.28 × 382,545.33
  4. Step 4: Simplify right side
    416,425x = 239,047,326,282.35
  5. Step 5: Solve for x
    x = 239,047,326,282.35/416,425
  6. Step 6: Final answer
    x = 574,046.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.