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Finding the Fourth Proportional to 413,365.20, 619,756.20 and 188,833.20

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Solution

The fourth proportional to 413,365.20, 619,756.20 and 188,833.20 is: 283,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,365.20 : 619,756.20 = 188,833.20 : x
  2. Step 2: Convert to fraction form
    413,365.20/619,756.20 = 188,833.20/x
  3. Step 3: Cross multiply
    413,365.20x = 619,756.20 × 188,833.20
  4. Step 4: Simplify right side
    413,365.20x = 117,030,546,465.84
  5. Step 5: Solve for x
    x = 117,030,546,465.84/413,365.20
  6. Step 6: Final answer
    x = 283,116.59

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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.