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Finding the Fourth Proportional to 461,141.80, 691,712.70 and 367,829.80

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Solution

The fourth proportional to 461,141.80, 691,712.70 and 367,829.80 is: 551,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,141.80 : 691,712.70 = 367,829.80 : x
  2. Step 2: Convert to fraction form
    461,141.80/691,712.70 = 367,829.80/x
  3. Step 3: Cross multiply
    461,141.80x = 691,712.70 × 367,829.80
  4. Step 4: Simplify right side
    461,141.80x = 254,432,544,098.46
  5. Step 5: Solve for x
    x = 254,432,544,098.46/461,141.80
  6. Step 6: Final answer
    x = 551,744.70

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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.