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Finding the Fourth Proportional to 483,523.50, 725,416.50 and 146,575.16

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Solution

The fourth proportional to 483,523.50, 725,416.50 and 146,575.16 is: 219,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,523.50 : 725,416.50 = 146,575.16 : x
  2. Step 2: Convert to fraction form
    483,523.50/725,416.50 = 146,575.16/x
  3. Step 3: Cross multiply
    483,523.50x = 725,416.50 × 146,575.16
  4. Step 4: Simplify right side
    483,523.50x = 106,328,035,927.06
  5. Step 5: Solve for x
    x = 106,328,035,927.06/483,523.50
  6. Step 6: Final answer
    x = 219,902.52

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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.