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Finding the Fourth Proportional to 416,246.40, 623,678.40 and 356,803.20

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Solution

The fourth proportional to 416,246.40, 623,678.40 and 356,803.20 is: 534,612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,246.40 : 623,678.40 = 356,803.20 : x
  2. Step 2: Convert to fraction form
    416,246.40/623,678.40 = 356,803.20/x
  3. Step 3: Cross multiply
    416,246.40x = 623,678.40 × 356,803.20
  4. Step 4: Simplify right side
    416,246.40x = 222,530,448,890.88
  5. Step 5: Solve for x
    x = 222,530,448,890.88/416,246.40
  6. Step 6: Final answer
    x = 534,612.31

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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.