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Finding the Fourth Proportional to 294,502.21, 406,402.28 and 179,972.55

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Solution

The fourth proportional to 294,502.21, 406,402.28 and 179,972.55 is: 248,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,502.21 : 406,402.28 = 179,972.55 : x
  2. Step 2: Convert to fraction form
    294,502.21/406,402.28 = 179,972.55/x
  3. Step 3: Cross multiply
    294,502.21x = 406,402.28 × 179,972.55
  4. Step 4: Simplify right side
    294,502.21x = 73,141,254,657.41
  5. Step 5: Solve for x
    x = 73,141,254,657.41/294,502.21
  6. Step 6: Final answer
    x = 248,355.54

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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.