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Finding the Fourth Proportional to 568,782.04, 784,914.38 and 314,127.76

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Solution

The fourth proportional to 568,782.04, 784,914.38 and 314,127.76 is: 433,493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,782.04 : 784,914.38 = 314,127.76 : x
  2. Step 2: Convert to fraction form
    568,782.04/784,914.38 = 314,127.76/x
  3. Step 3: Cross multiply
    568,782.04x = 784,914.38 × 314,127.76
  4. Step 4: Simplify right side
    568,782.04x = 246,563,395,981.19
  5. Step 5: Solve for x
    x = 246,563,395,981.19/568,782.04
  6. Step 6: Final answer
    x = 433,493.64

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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.