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Finding the Fourth Proportional to 469,935.92, 705,603.72 and 189,999.92

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Solution

The fourth proportional to 469,935.92, 705,603.72 and 189,999.92 is: 285,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,935.92 : 705,603.72 = 189,999.92 : x
  2. Step 2: Convert to fraction form
    469,935.92/705,603.72 = 189,999.92/x
  3. Step 3: Cross multiply
    469,935.92x = 705,603.72 × 189,999.92
  4. Step 4: Simplify right side
    469,935.92x = 134,064,650,351.70
  5. Step 5: Solve for x
    x = 134,064,650,351.70/469,935.92
  6. Step 6: Final answer
    x = 285,282.83

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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.