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Finding the Fourth Proportional to 311,335.53, 467,150.91 and 185,224.91

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Solution

The fourth proportional to 311,335.53, 467,150.91 and 185,224.91 is: 277,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,335.53 : 467,150.91 = 185,224.91 : x
  2. Step 2: Convert to fraction form
    311,335.53/467,150.91 = 185,224.91/x
  3. Step 3: Cross multiply
    311,335.53x = 467,150.91 × 185,224.91
  4. Step 4: Simplify right side
    311,335.53x = 86,527,985,261.17
  5. Step 5: Solve for x
    x = 86,527,985,261.17/311,335.53
  6. Step 6: Final answer
    x = 277,925.19

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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.