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Finding the Fourth Proportional to 598,529.92, 897,641.28 and 177,708.16

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Solution

The fourth proportional to 598,529.92, 897,641.28 and 177,708.16 is: 266,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,529.92 : 897,641.28 = 177,708.16 : x
  2. Step 2: Convert to fraction form
    598,529.92/897,641.28 = 177,708.16/x
  3. Step 3: Cross multiply
    598,529.92x = 897,641.28 × 177,708.16
  4. Step 4: Simplify right side
    598,529.92x = 159,518,180,208.85
  5. Step 5: Solve for x
    x = 159,518,180,208.85/598,529.92
  6. Step 6: Final answer
    x = 266,516.63

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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.