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Finding the Fourth Proportional to 364,108.76, 502,264.29 and 227,906.25

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Solution

The fourth proportional to 364,108.76, 502,264.29 and 227,906.25 is: 314,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,108.76 : 502,264.29 = 227,906.25 : x
  2. Step 2: Convert to fraction form
    364,108.76/502,264.29 = 227,906.25/x
  3. Step 3: Cross multiply
    364,108.76x = 502,264.29 × 227,906.25
  4. Step 4: Simplify right side
    364,108.76x = 114,469,170,842.81
  5. Step 5: Solve for x
    x = 114,469,170,842.81/364,108.76
  6. Step 6: Final answer
    x = 314,381.81

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1.5x scale

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.