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Finding the Fourth Proportional to 417,254.86, 625,999.02 and 136,968.94

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Solution

The fourth proportional to 417,254.86, 625,999.02 and 136,968.94 is: 205,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,254.86 : 625,999.02 = 136,968.94 : x
  2. Step 2: Convert to fraction form
    417,254.86/625,999.02 = 136,968.94/x
  3. Step 3: Cross multiply
    417,254.86x = 625,999.02 × 136,968.94
  4. Step 4: Simplify right side
    417,254.86x = 85,742,422,210.44
  5. Step 5: Solve for x
    x = 85,742,422,210.44/417,254.86
  6. Step 6: Final answer
    x = 205,491.73

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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.