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Finding the Fourth Proportional to 598,406.16, 897,601.92 and 171,951.84

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Solution

The fourth proportional to 598,406.16, 897,601.92 and 171,951.84 is: 257,925.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,406.16 : 897,601.92 = 171,951.84 : x
  2. Step 2: Convert to fraction form
    598,406.16/897,601.92 = 171,951.84/x
  3. Step 3: Cross multiply
    598,406.16x = 897,601.92 × 171,951.84
  4. Step 4: Simplify right side
    598,406.16x = 154,344,301,731.53
  5. Step 5: Solve for x
    x = 154,344,301,731.53/598,406.16
  6. Step 6: Final answer
    x = 257,925.66

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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.