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Finding the Fourth Proportional to 469,986.77, 705,246.78 and 253,842.83

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Solution

The fourth proportional to 469,986.77, 705,246.78 and 253,842.83 is: 380,908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,986.77 : 705,246.78 = 253,842.83 : x
  2. Step 2: Convert to fraction form
    469,986.77/705,246.78 = 253,842.83/x
  3. Step 3: Cross multiply
    469,986.77x = 705,246.78 × 253,842.83
  4. Step 4: Simplify right side
    469,986.77x = 179,021,834,957.35
  5. Step 5: Solve for x
    x = 179,021,834,957.35/469,986.77
  6. Step 6: Final answer
    x = 380,908.25

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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.