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Finding the Fourth Proportional to 416,313.66, 624,498.30 and 146,409.42

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Solution

The fourth proportional to 416,313.66, 624,498.30 and 146,409.42 is: 219,623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,313.66 : 624,498.30 = 146,409.42 : x
  2. Step 2: Convert to fraction form
    416,313.66/624,498.30 = 146,409.42/x
  3. Step 3: Cross multiply
    416,313.66x = 624,498.30 × 146,409.42
  4. Step 4: Simplify right side
    416,313.66x = 91,432,433,893.99
  5. Step 5: Solve for x
    x = 91,432,433,893.99/416,313.66
  6. Step 6: Final answer
    x = 219,623.91

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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.