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Finding the Fourth Proportional to 463,014, 639,041.13 and 272,027.34

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Solution

The fourth proportional to 463,014, 639,041.13 and 272,027.34 is: 375,445.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,014 : 639,041.13 = 272,027.34 : x
  2. Step 2: Convert to fraction form
    463,014/639,041.13 = 272,027.34/x
  3. Step 3: Cross multiply
    463,014x = 639,041.13 × 272,027.34
  4. Step 4: Simplify right side
    463,014x = 173,836,658,744.49
  5. Step 5: Solve for x
    x = 173,836,658,744.49/463,014
  6. Step 6: Final answer
    x = 375,445.79

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