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Finding the Fourth Proportional to 467,852.50, 701,895.66 and 135,428.50

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Solution

The fourth proportional to 467,852.50, 701,895.66 and 135,428.50 is: 203,176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,852.50 : 701,895.66 = 135,428.50 : x
  2. Step 2: Convert to fraction form
    467,852.50/701,895.66 = 135,428.50/x
  3. Step 3: Cross multiply
    467,852.50x = 701,895.66 × 135,428.50
  4. Step 4: Simplify right side
    467,852.50x = 95,056,676,390.31
  5. Step 5: Solve for x
    x = 95,056,676,390.31/467,852.50
  6. Step 6: Final answer
    x = 203,176.59

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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.