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Finding the Fourth Proportional to 568,223.24, 784,442.88 and 415,089.48

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Solution

The fourth proportional to 568,223.24, 784,442.88 and 415,089.48 is: 573,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,223.24 : 784,442.88 = 415,089.48 : x
  2. Step 2: Convert to fraction form
    568,223.24/784,442.88 = 415,089.48/x
  3. Step 3: Cross multiply
    568,223.24x = 784,442.88 × 415,089.48
  4. Step 4: Simplify right side
    568,223.24x = 325,613,987,148.90
  5. Step 5: Solve for x
    x = 325,613,987,148.90/568,223.24
  6. Step 6: Final answer
    x = 573,038.84

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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.