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Finding the Fourth Proportional to 589,146.26, 883,717.71 and 156,863.67

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Solution

The fourth proportional to 589,146.26, 883,717.71 and 156,863.67 is: 235,295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,146.26 : 883,717.71 = 156,863.67 : x
  2. Step 2: Convert to fraction form
    589,146.26/883,717.71 = 156,863.67/x
  3. Step 3: Cross multiply
    589,146.26x = 883,717.71 × 156,863.67
  4. Step 4: Simplify right side
    589,146.26x = 138,623,205,185.69
  5. Step 5: Solve for x
    x = 138,623,205,185.69/589,146.26
  6. Step 6: Final answer
    x = 235,295.06

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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.