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Finding the Fourth Proportional to 243,914, 367,699.31 and 227,657.48

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Solution

The fourth proportional to 243,914, 367,699.31 and 227,657.48 is: 343,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,914 : 367,699.31 = 227,657.48 : x
  2. Step 2: Convert to fraction form
    243,914/367,699.31 = 227,657.48/x
  3. Step 3: Cross multiply
    243,914x = 367,699.31 × 227,657.48
  4. Step 4: Simplify right side
    243,914x = 83,709,498,312.34
  5. Step 5: Solve for x
    x = 83,709,498,312.34/243,914
  6. Step 6: Final answer
    x = 343,192.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.