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Finding the Fourth Proportional to 307,564.80, 461,347.20 and 276,460.80

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Solution

The fourth proportional to 307,564.80, 461,347.20 and 276,460.80 is: 414,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,564.80 : 461,347.20 = 276,460.80 : x
  2. Step 2: Convert to fraction form
    307,564.80/461,347.20 = 276,460.80/x
  3. Step 3: Cross multiply
    307,564.80x = 461,347.20 × 276,460.80
  4. Step 4: Simplify right side
    307,564.80x = 127,544,415,989.76
  5. Step 5: Solve for x
    x = 127,544,415,989.76/307,564.80
  6. Step 6: Final answer
    x = 414,691.20

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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.