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Finding the Fourth Proportional to 533,046.13, 799,707.70 and 159,069.13

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Solution

The fourth proportional to 533,046.13, 799,707.70 and 159,069.13 is: 238,645.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,046.13 : 799,707.70 = 159,069.13 : x
  2. Step 2: Convert to fraction form
    533,046.13/799,707.70 = 159,069.13/x
  3. Step 3: Cross multiply
    533,046.13x = 799,707.70 × 159,069.13
  4. Step 4: Simplify right side
    533,046.13x = 127,208,808,093.30
  5. Step 5: Solve for x
    x = 127,208,808,093.30/533,046.13
  6. Step 6: Final answer
    x = 238,645.03

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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.