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Finding the Fourth Proportional to 356,905.88, 535,333.76 and 167,407.80

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Solution

The fourth proportional to 356,905.88, 535,333.76 and 167,407.80 is: 251,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,905.88 : 535,333.76 = 167,407.80 : x
  2. Step 2: Convert to fraction form
    356,905.88/535,333.76 = 167,407.80/x
  3. Step 3: Cross multiply
    356,905.88x = 535,333.76 × 167,407.80
  4. Step 4: Simplify right side
    356,905.88x = 89,619,046,190.29
  5. Step 5: Solve for x
    x = 89,619,046,190.29/356,905.88
  6. Step 6: Final answer
    x = 251,099.95

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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.