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Finding the Fourth Proportional to 283,706.88, 391,510.17 and 154,646.58

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Solution

The fourth proportional to 283,706.88, 391,510.17 and 154,646.58 is: 213,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,706.88 : 391,510.17 = 154,646.58 : x
  2. Step 2: Convert to fraction form
    283,706.88/391,510.17 = 154,646.58/x
  3. Step 3: Cross multiply
    283,706.88x = 391,510.17 × 154,646.58
  4. Step 4: Simplify right side
    283,706.88x = 60,545,708,825.72
  5. Step 5: Solve for x
    x = 60,545,708,825.72/283,706.88
  6. Step 6: Final answer
    x = 213,409.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.