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Finding the Fourth Proportional to 730,524.90, 1,008,122 and 408,234.98

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Solution

The fourth proportional to 730,524.90, 1,008,122 and 408,234.98 is: 563,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,524.90 : 1,008,122 = 408,234.98 : x
  2. Step 2: Convert to fraction form
    730,524.90/1,008,122 = 408,234.98/x
  3. Step 3: Cross multiply
    730,524.90x = 1,008,122 × 408,234.98
  4. Step 4: Simplify right side
    730,524.90x = 411,550,664,507.56
  5. Step 5: Solve for x
    x = 411,550,664,507.56/730,524.90
  6. Step 6: Final answer
    x = 563,362.95

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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.