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Finding the Fourth Proportional to 589,697.28, 813,782.48 and 335,048.80

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Solution

The fourth proportional to 589,697.28, 813,782.48 and 335,048.80 is: 462,367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,697.28 : 813,782.48 = 335,048.80 : x
  2. Step 2: Convert to fraction form
    589,697.28/813,782.48 = 335,048.80/x
  3. Step 3: Cross multiply
    589,697.28x = 813,782.48 × 335,048.80
  4. Step 4: Simplify right side
    589,697.28x = 272,656,843,385.02
  5. Step 5: Solve for x
    x = 272,656,843,385.02/589,697.28
  6. Step 6: Final answer
    x = 462,367.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.