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Finding the Fourth Proportional to 321,297.04, 482,110.80 and 153,008.20

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Solution

The fourth proportional to 321,297.04, 482,110.80 and 153,008.20 is: 229,590.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,297.04 : 482,110.80 = 153,008.20 : x
  2. Step 2: Convert to fraction form
    321,297.04/482,110.80 = 153,008.20/x
  3. Step 3: Cross multiply
    321,297.04x = 482,110.80 × 153,008.20
  4. Step 4: Simplify right side
    321,297.04x = 73,766,905,708.56
  5. Step 5: Solve for x
    x = 73,766,905,708.56/321,297.04
  6. Step 6: Final answer
    x = 229,590.99

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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.