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Finding the Fourth Proportional to 413,906.86, 571,347.51 and 241,880.68

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Solution

The fourth proportional to 413,906.86, 571,347.51 and 241,880.68 is: 333,886.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,906.86 : 571,347.51 = 241,880.68 : x
  2. Step 2: Convert to fraction form
    413,906.86/571,347.51 = 241,880.68/x
  3. Step 3: Cross multiply
    413,906.86x = 571,347.51 × 241,880.68
  4. Step 4: Simplify right side
    413,906.86x = 138,197,924,235.11
  5. Step 5: Solve for x
    x = 138,197,924,235.11/413,906.86
  6. Step 6: Final answer
    x = 333,886.53

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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.