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Finding the Fourth Proportional to 471,696.86, 650,953.37 and 256,848.71

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Solution

The fourth proportional to 471,696.86, 650,953.37 and 256,848.71 is: 354,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,696.86 : 650,953.37 = 256,848.71 : x
  2. Step 2: Convert to fraction form
    471,696.86/650,953.37 = 256,848.71/x
  3. Step 3: Cross multiply
    471,696.86x = 650,953.37 × 256,848.71
  4. Step 4: Simplify right side
    471,696.86x = 167,196,530,742.01
  5. Step 5: Solve for x
    x = 167,196,530,742.01/471,696.86
  6. Step 6: Final answer
    x = 354,457.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.