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Finding the Fourth Proportional to 538,211, 807,430.44 and 159,101.84

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Solution

The fourth proportional to 538,211, 807,430.44 and 159,101.84 is: 238,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,211 : 807,430.44 = 159,101.84 : x
  2. Step 2: Convert to fraction form
    538,211/807,430.44 = 159,101.84/x
  3. Step 3: Cross multiply
    538,211x = 807,430.44 × 159,101.84
  4. Step 4: Simplify right side
    538,211x = 128,463,668,676.01
  5. Step 5: Solve for x
    x = 128,463,668,676.01/538,211
  6. Step 6: Final answer
    x = 238,686.44

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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.