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Finding the Fourth Proportional to 522,086.48, 783,016.93 and 185,138.12

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Solution

The fourth proportional to 522,086.48, 783,016.93 and 185,138.12 is: 277,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,086.48 : 783,016.93 = 185,138.12 : x
  2. Step 2: Convert to fraction form
    522,086.48/783,016.93 = 185,138.12/x
  3. Step 3: Cross multiply
    522,086.48x = 783,016.93 × 185,138.12
  4. Step 4: Simplify right side
    522,086.48x = 144,966,283,495.94
  5. Step 5: Solve for x
    x = 144,966,283,495.94/522,086.48
  6. Step 6: Final answer
    x = 277,667.19

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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.