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Finding the Fourth Proportional to 498,064.96, 746,838.03 and 178,093.50

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Solution

The fourth proportional to 498,064.96, 746,838.03 and 178,093.50 is: 267,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,064.96 : 746,838.03 = 178,093.50 : x
  2. Step 2: Convert to fraction form
    498,064.96/746,838.03 = 178,093.50/x
  3. Step 3: Cross multiply
    498,064.96x = 746,838.03 × 178,093.50
  4. Step 4: Simplify right side
    498,064.96x = 133,006,996,563.01
  5. Step 5: Solve for x
    x = 133,006,996,563.01/498,064.96
  6. Step 6: Final answer
    x = 267,047.49

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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.