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Finding the Fourth Proportional to 404,575.20, 606,943.80 and 120,265.20

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Solution

The fourth proportional to 404,575.20, 606,943.80 and 120,265.20 is: 180,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,575.20 : 606,943.80 = 120,265.20 : x
  2. Step 2: Convert to fraction form
    404,575.20/606,943.80 = 120,265.20/x
  3. Step 3: Cross multiply
    404,575.20x = 606,943.80 × 120,265.20
  4. Step 4: Simplify right side
    404,575.20x = 72,994,217,495.76
  5. Step 5: Solve for x
    x = 72,994,217,495.76/404,575.20
  6. Step 6: Final answer
    x = 180,421.88

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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.