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Finding the Fourth Proportional to 417,345.92, 626,096.64 and 136,943.36

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Solution

The fourth proportional to 417,345.92, 626,096.64 and 136,943.36 is: 205,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,345.92 : 626,096.64 = 136,943.36 : x
  2. Step 2: Convert to fraction form
    417,345.92/626,096.64 = 136,943.36/x
  3. Step 3: Cross multiply
    417,345.92x = 626,096.64 × 136,943.36
  4. Step 4: Simplify right side
    417,345.92x = 85,739,777,566.31
  5. Step 5: Solve for x
    x = 85,739,777,566.31/417,345.92
  6. Step 6: Final answer
    x = 205,440.56

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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.