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Finding the Fourth Proportional to 417,563.19, 626,339.30 and 102,022.83

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Solution

The fourth proportional to 417,563.19, 626,339.30 and 102,022.83 is: 153,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,563.19 : 626,339.30 = 102,022.83 : x
  2. Step 2: Convert to fraction form
    417,563.19/626,339.30 = 102,022.83/x
  3. Step 3: Cross multiply
    417,563.19x = 626,339.30 × 102,022.83
  4. Step 4: Simplify right side
    417,563.19x = 63,900,907,416.10
  5. Step 5: Solve for x
    x = 63,900,907,416.10/417,563.19
  6. Step 6: Final answer
    x = 153,032.90

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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.