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Finding the Fourth Proportional to 568,682.44, 784,776.84 and 314,028.16

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Solution

The fourth proportional to 568,682.44, 784,776.84 and 314,028.16 is: 433,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,682.44 : 784,776.84 = 314,028.16 : x
  2. Step 2: Convert to fraction form
    568,682.44/784,776.84 = 314,028.16/x
  3. Step 3: Cross multiply
    568,682.44x = 784,776.84 × 314,028.16
  4. Step 4: Simplify right side
    568,682.44x = 246,442,027,075.81
  5. Step 5: Solve for x
    x = 246,442,027,075.81/568,682.44
  6. Step 6: Final answer
    x = 433,356.14

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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.