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Finding the Fourth Proportional to 416,533.18, 624,670.60 and 150,259.11

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Solution

The fourth proportional to 416,533.18, 624,670.60 and 150,259.11 is: 225,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,533.18 : 624,670.60 = 150,259.11 : x
  2. Step 2: Convert to fraction form
    416,533.18/624,670.60 = 150,259.11/x
  3. Step 3: Cross multiply
    416,533.18x = 624,670.60 × 150,259.11
  4. Step 4: Simplify right side
    416,533.18x = 93,862,448,399.17
  5. Step 5: Solve for x
    x = 93,862,448,399.17/416,533.18
  6. Step 6: Final answer
    x = 225,342.07

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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.