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Finding the Fourth Proportional to 356,883.20, 535,324.80 and 146,412.80

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Solution

The fourth proportional to 356,883.20, 535,324.80 and 146,412.80 is: 219,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,883.20 : 535,324.80 = 146,412.80 : x
  2. Step 2: Convert to fraction form
    356,883.20/535,324.80 = 146,412.80/x
  3. Step 3: Cross multiply
    356,883.20x = 535,324.80 × 146,412.80
  4. Step 4: Simplify right side
    356,883.20x = 78,378,402,877.44
  5. Step 5: Solve for x
    x = 78,378,402,877.44/356,883.20
  6. Step 6: Final answer
    x = 219,619.20

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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.