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Finding the Fourth Proportional to 416,610, 624,785.94 and 150,336

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Solution

The fourth proportional to 416,610, 624,785.94 and 150,336 is: 225,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,610 : 624,785.94 = 150,336 : x
  2. Step 2: Convert to fraction form
    416,610/624,785.94 = 150,336/x
  3. Step 3: Cross multiply
    416,610x = 624,785.94 × 150,336
  4. Step 4: Simplify right side
    416,610x = 93,927,819,075.84
  5. Step 5: Solve for x
    x = 93,927,819,075.84/416,610
  6. Step 6: Final answer
    x = 225,457.43

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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.