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Finding the Fourth Proportional to 532,830.52, 798,556.86 and 398,658.07

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Solution

The fourth proportional to 532,830.52, 798,556.86 and 398,658.07 is: 597,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,830.52 : 798,556.86 = 398,658.07 : x
  2. Step 2: Convert to fraction form
    532,830.52/798,556.86 = 398,658.07/x
  3. Step 3: Cross multiply
    532,830.52x = 798,556.86 × 398,658.07
  4. Step 4: Simplify right side
    532,830.52x = 318,351,136,592.86
  5. Step 5: Solve for x
    x = 318,351,136,592.86/532,830.52
  6. Step 6: Final answer
    x = 597,471.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.