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Finding the Fourth Proportional to 340,708.80, 511,063.20 and 307,531.20

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Solution

The fourth proportional to 340,708.80, 511,063.20 and 307,531.20 is: 461,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,708.80 : 511,063.20 = 307,531.20 : x
  2. Step 2: Convert to fraction form
    340,708.80/511,063.20 = 307,531.20/x
  3. Step 3: Cross multiply
    340,708.80x = 511,063.20 × 307,531.20
  4. Step 4: Simplify right side
    340,708.80x = 157,167,879,171.84
  5. Step 5: Solve for x
    x = 157,167,879,171.84/340,708.80
  6. Step 6: Final answer
    x = 461,296.80

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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.