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Finding the Fourth Proportional to 307,564.70, 461,347.05 and 188,851.10

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Solution

The fourth proportional to 307,564.70, 461,347.05 and 188,851.10 is: 283,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,564.70 : 461,347.05 = 188,851.10 : x
  2. Step 2: Convert to fraction form
    307,564.70/461,347.05 = 188,851.10/x
  3. Step 3: Cross multiply
    307,564.70x = 461,347.05 × 188,851.10
  4. Step 4: Simplify right side
    307,564.70x = 87,125,897,874.26
  5. Step 5: Solve for x
    x = 87,125,897,874.26/307,564.70
  6. Step 6: Final answer
    x = 283,276.65

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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.