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Finding the Fourth Proportional to 413,496.80, 620,828.40 and 256,032.80

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Solution

The fourth proportional to 413,496.80, 620,828.40 and 256,032.80 is: 384,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,496.80 : 620,828.40 = 256,032.80 : x
  2. Step 2: Convert to fraction form
    413,496.80/620,828.40 = 256,032.80/x
  3. Step 3: Cross multiply
    413,496.80x = 620,828.40 × 256,032.80
  4. Step 4: Simplify right side
    413,496.80x = 158,952,433,571.52
  5. Step 5: Solve for x
    x = 158,952,433,571.52/413,496.80
  6. Step 6: Final answer
    x = 384,410.31

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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.