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Finding the Fourth Proportional to 513,043.20, 769,564.80 and 506,044.80

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Solution

The fourth proportional to 513,043.20, 769,564.80 and 506,044.80 is: 759,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,043.20 : 769,564.80 = 506,044.80 : x
  2. Step 2: Convert to fraction form
    513,043.20/769,564.80 = 506,044.80/x
  3. Step 3: Cross multiply
    513,043.20x = 769,564.80 × 506,044.80
  4. Step 4: Simplify right side
    513,043.20x = 389,434,265,303.04
  5. Step 5: Solve for x
    x = 389,434,265,303.04/513,043.20
  6. Step 6: Final answer
    x = 759,067.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.