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Finding the Fourth Proportional to 417,096.86, 624,150.60 and 361,130.30

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Solution

The fourth proportional to 417,096.86, 624,150.60 and 361,130.30 is: 540,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,096.86 : 624,150.60 = 361,130.30 : x
  2. Step 2: Convert to fraction form
    417,096.86/624,150.60 = 361,130.30/x
  3. Step 3: Cross multiply
    417,096.86x = 624,150.60 × 361,130.30
  4. Step 4: Simplify right side
    417,096.86x = 225,399,693,423.18
  5. Step 5: Solve for x
    x = 225,399,693,423.18/417,096.86
  6. Step 6: Final answer
    x = 540,401.32

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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.