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Finding the Fourth Proportional to 503,764.50, 755,941.98 and 361,456.40

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Solution

The fourth proportional to 503,764.50, 755,941.98 and 361,456.40 is: 542,396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,764.50 : 755,941.98 = 361,456.40 : x
  2. Step 2: Convert to fraction form
    503,764.50/755,941.98 = 361,456.40/x
  3. Step 3: Cross multiply
    503,764.50x = 755,941.98 × 361,456.40
  4. Step 4: Simplify right side
    503,764.50x = 273,240,066,699.67
  5. Step 5: Solve for x
    x = 273,240,066,699.67/503,764.50
  6. Step 6: Final answer
    x = 542,396.43

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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.