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Finding the Fourth Proportional to 289,712.21, 399,654.23 and 174,927.51

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Solution

The fourth proportional to 289,712.21, 399,654.23 and 174,927.51 is: 241,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,712.21 : 399,654.23 = 174,927.51 : x
  2. Step 2: Convert to fraction form
    289,712.21/399,654.23 = 174,927.51/x
  3. Step 3: Cross multiply
    289,712.21x = 399,654.23 × 174,927.51
  4. Step 4: Simplify right side
    289,712.21x = 69,910,518,440.23
  5. Step 5: Solve for x
    x = 69,910,518,440.23/289,712.21
  6. Step 6: Final answer
    x = 241,310.23

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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.