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Finding the Fourth Proportional to 416,533.02, 624,801.54 and 100,989.90

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Solution

The fourth proportional to 416,533.02, 624,801.54 and 100,989.90 is: 151,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,533.02 : 624,801.54 = 100,989.90 : x
  2. Step 2: Convert to fraction form
    416,533.02/624,801.54 = 100,989.90/x
  3. Step 3: Cross multiply
    416,533.02x = 624,801.54 × 100,989.90
  4. Step 4: Simplify right side
    416,533.02x = 63,098,645,044.45
  5. Step 5: Solve for x
    x = 63,098,645,044.45/416,533.02
  6. Step 6: Final answer
    x = 151,485.34

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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.