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Finding the Fourth Proportional to 416,268.08, 624,332.28 and 149,978.96

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Solution

The fourth proportional to 416,268.08, 624,332.28 and 149,978.96 is: 224,943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,268.08 : 624,332.28 = 149,978.96 : x
  2. Step 2: Convert to fraction form
    416,268.08/624,332.28 = 149,978.96/x
  3. Step 3: Cross multiply
    416,268.08x = 624,332.28 × 149,978.96
  4. Step 4: Simplify right side
    416,268.08x = 93,636,706,048.83
  5. Step 5: Solve for x
    x = 93,636,706,048.83/416,268.08
  6. Step 6: Final answer
    x = 224,943.28

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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.