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Finding the Fourth Proportional to 314,615.77, 471,741.40 and 214,896.47

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Solution

The fourth proportional to 314,615.77, 471,741.40 and 214,896.47 is: 322,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,615.77 : 471,741.40 = 214,896.47 : x
  2. Step 2: Convert to fraction form
    314,615.77/471,741.40 = 214,896.47/x
  3. Step 3: Cross multiply
    314,615.77x = 471,741.40 × 214,896.47
  4. Step 4: Simplify right side
    314,615.77x = 101,375,561,612.86
  5. Step 5: Solve for x
    x = 101,375,561,612.86/314,615.77
  6. Step 6: Final answer
    x = 322,220.22

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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.