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Finding the Fourth Proportional to 568,322.98, 784,580.93 and 415,189.24

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Solution

The fourth proportional to 568,322.98, 784,580.93 and 415,189.24 is: 573,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,322.98 : 784,580.93 = 415,189.24 : x
  2. Step 2: Convert to fraction form
    568,322.98/784,580.93 = 415,189.24/x
  3. Step 3: Cross multiply
    568,322.98x = 784,580.93 × 415,189.24
  4. Step 4: Simplify right side
    568,322.98x = 325,749,557,969.25
  5. Step 5: Solve for x
    x = 325,749,557,969.25/568,322.98
  6. Step 6: Final answer
    x = 573,176.82

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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.