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Finding the Fourth Proportional to 418,395.79, 577,386.93 and 227,408.68

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Solution

The fourth proportional to 418,395.79, 577,386.93 and 227,408.68 is: 313,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,395.79 : 577,386.93 = 227,408.68 : x
  2. Step 2: Convert to fraction form
    418,395.79/577,386.93 = 227,408.68/x
  3. Step 3: Cross multiply
    418,395.79x = 577,386.93 × 227,408.68
  4. Step 4: Simplify right side
    418,395.79x = 131,302,799,600.55
  5. Step 5: Solve for x
    x = 131,302,799,600.55/418,395.79
  6. Step 6: Final answer
    x = 313,824.38

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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.