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Finding the Fourth Proportional to 598,518.92, 897,624.78 and 177,697.16

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Solution

The fourth proportional to 598,518.92, 897,624.78 and 177,697.16 is: 266,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,518.92 : 897,624.78 = 177,697.16 : x
  2. Step 2: Convert to fraction form
    598,518.92/897,624.78 = 177,697.16/x
  3. Step 3: Cross multiply
    598,518.92x = 897,624.78 × 177,697.16
  4. Step 4: Simplify right side
    598,518.92x = 159,505,374,151.63
  5. Step 5: Solve for x
    x = 159,505,374,151.63/598,518.92
  6. Step 6: Final answer
    x = 266,500.14

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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.