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Finding the Fourth Proportional to 538,938.40, 808,407.60 and 159,872.80

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Solution

The fourth proportional to 538,938.40, 808,407.60 and 159,872.80 is: 239,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,938.40 : 808,407.60 = 159,872.80 : x
  2. Step 2: Convert to fraction form
    538,938.40/808,407.60 = 159,872.80/x
  3. Step 3: Cross multiply
    538,938.40x = 808,407.60 × 159,872.80
  4. Step 4: Simplify right side
    538,938.40x = 129,242,386,553.28
  5. Step 5: Solve for x
    x = 129,242,386,553.28/538,938.40
  6. Step 6: Final answer
    x = 239,809.20

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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.