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Finding the Fourth Proportional to 469,957.92, 705,636.72 and 190,021.92

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Solution

The fourth proportional to 469,957.92, 705,636.72 and 190,021.92 is: 285,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,957.92 : 705,636.72 = 190,021.92 : x
  2. Step 2: Convert to fraction form
    469,957.92/705,636.72 = 190,021.92/x
  3. Step 3: Cross multiply
    469,957.92x = 705,636.72 × 190,021.92
  4. Step 4: Simplify right side
    469,957.92x = 134,086,444,356.90
  5. Step 5: Solve for x
    x = 134,086,444,356.90/469,957.92
  6. Step 6: Final answer
    x = 285,315.85

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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.