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Finding the Fourth Proportional to 313,115.92, 469,051.80 and 172,525.84

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Solution

The fourth proportional to 313,115.92, 469,051.80 and 172,525.84 is: 258,446.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,115.92 : 469,051.80 = 172,525.84 : x
  2. Step 2: Convert to fraction form
    313,115.92/469,051.80 = 172,525.84/x
  3. Step 3: Cross multiply
    313,115.92x = 469,051.80 × 172,525.84
  4. Step 4: Simplify right side
    313,115.92x = 80,923,555,798.51
  5. Step 5: Solve for x
    x = 80,923,555,798.51/313,115.92
  6. Step 6: Final answer
    x = 258,446.00

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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.