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Finding the Fourth Proportional to 568,223.98, 784,443.92 and 415,090.24

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Solution

The fourth proportional to 568,223.98, 784,443.92 and 415,090.24 is: 573,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,223.98 : 784,443.92 = 415,090.24 : x
  2. Step 2: Convert to fraction form
    568,223.98/784,443.92 = 415,090.24/x
  3. Step 3: Cross multiply
    568,223.98x = 784,443.92 × 415,090.24
  4. Step 4: Simplify right side
    568,223.98x = 325,615,015,019.34
  5. Step 5: Solve for x
    x = 325,615,015,019.34/568,223.98
  6. Step 6: Final answer
    x = 573,039.90

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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.