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Finding the Fourth Proportional to 410,998.80, 616,109.40 and 242,648.40

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Solution

The fourth proportional to 410,998.80, 616,109.40 and 242,648.40 is: 363,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,998.80 : 616,109.40 = 242,648.40 : x
  2. Step 2: Convert to fraction form
    410,998.80/616,109.40 = 242,648.40/x
  3. Step 3: Cross multiply
    410,998.80x = 616,109.40 × 242,648.40
  4. Step 4: Simplify right side
    410,998.80x = 149,497,960,134.96
  5. Step 5: Solve for x
    x = 149,497,960,134.96/410,998.80
  6. Step 6: Final answer
    x = 363,743.06

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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.