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Finding the Fourth Proportional to 417,758.72, 626,662.44 and 118,214.24

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Solution

The fourth proportional to 417,758.72, 626,662.44 and 118,214.24 is: 177,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,758.72 : 626,662.44 = 118,214.24 : x
  2. Step 2: Convert to fraction form
    417,758.72/626,662.44 = 118,214.24/x
  3. Step 3: Cross multiply
    417,758.72x = 626,662.44 × 118,214.24
  4. Step 4: Simplify right side
    417,758.72x = 74,080,420,947.83
  5. Step 5: Solve for x
    x = 74,080,420,947.83/417,758.72
  6. Step 6: Final answer
    x = 177,328.25

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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.