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Finding the Fourth Proportional to 416,639.21, 624,829.61 and 150,365.12

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Solution

The fourth proportional to 416,639.21, 624,829.61 and 150,365.12 is: 225,501.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,639.21 : 624,829.61 = 150,365.12 : x
  2. Step 2: Convert to fraction form
    416,639.21/624,829.61 = 150,365.12/x
  3. Step 3: Cross multiply
    416,639.21x = 624,829.61 × 150,365.12
  4. Step 4: Simplify right side
    416,639.21x = 93,952,575,411.23
  5. Step 5: Solve for x
    x = 93,952,575,411.23/416,639.21
  6. Step 6: Final answer
    x = 225,501.04

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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.