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Finding the Fourth Proportional to 294,564.17, 440,840.23 and 182,196.11

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Solution

The fourth proportional to 294,564.17, 440,840.23 and 182,196.11 is: 272,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,564.17 : 440,840.23 = 182,196.11 : x
  2. Step 2: Convert to fraction form
    294,564.17/440,840.23 = 182,196.11/x
  3. Step 3: Cross multiply
    294,564.17x = 440,840.23 × 182,196.11
  4. Step 4: Simplify right side
    294,564.17x = 80,319,375,037.51
  5. Step 5: Solve for x
    x = 80,319,375,037.51/294,564.17
  6. Step 6: Final answer
    x = 272,671.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.