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Finding the Fourth Proportional to 417,393.90, 626,080.41 and 228,038.22

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Solution

The fourth proportional to 417,393.90, 626,080.41 and 228,038.22 is: 342,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,393.90 : 626,080.41 = 228,038.22 : x
  2. Step 2: Convert to fraction form
    417,393.90/626,080.41 = 228,038.22/x
  3. Step 3: Cross multiply
    417,393.90x = 626,080.41 × 228,038.22
  4. Step 4: Simplify right side
    417,393.90x = 142,770,262,273.27
  5. Step 5: Solve for x
    x = 142,770,262,273.27/417,393.90
  6. Step 6: Final answer
    x = 342,051.63

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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.