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Finding the Fourth Proportional to 373,214, 515,016.64 and 212,047.76

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Solution

The fourth proportional to 373,214, 515,016.64 and 212,047.76 is: 292,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,214 : 515,016.64 = 212,047.76 : x
  2. Step 2: Convert to fraction form
    373,214/515,016.64 = 212,047.76/x
  3. Step 3: Cross multiply
    373,214x = 515,016.64 × 212,047.76
  4. Step 4: Simplify right side
    373,214x = 109,208,124,874.73
  5. Step 5: Solve for x
    x = 109,208,124,874.73/373,214
  6. Step 6: Final answer
    x = 292,615.30

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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.