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Finding the Fourth Proportional to 393,026, 541,990.57 and 249,536.93

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Solution

The fourth proportional to 393,026, 541,990.57 and 249,536.93 is: 344,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,026 : 541,990.57 = 249,536.93 : x
  2. Step 2: Convert to fraction form
    393,026/541,990.57 = 249,536.93/x
  3. Step 3: Cross multiply
    393,026x = 541,990.57 × 249,536.93
  4. Step 4: Simplify right side
    393,026x = 135,246,662,926.75
  5. Step 5: Solve for x
    x = 135,246,662,926.75/393,026
  6. Step 6: Final answer
    x = 344,116.33

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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.