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Finding the Fourth Proportional to 416,622.30, 623,949.30 and 282,777.90

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Solution

The fourth proportional to 416,622.30, 623,949.30 and 282,777.90 is: 423,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,622.30 : 623,949.30 = 282,777.90 : x
  2. Step 2: Convert to fraction form
    416,622.30/623,949.30 = 282,777.90/x
  3. Step 3: Cross multiply
    416,622.30x = 623,949.30 × 282,777.90
  4. Step 4: Simplify right side
    416,622.30x = 176,439,072,760.47
  5. Step 5: Solve for x
    x = 176,439,072,760.47/416,622.30
  6. Step 6: Final answer
    x = 423,498.87

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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.