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Finding the Fourth Proportional to 407,827.75, 611,871.63 and 171,106.87

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Solution

The fourth proportional to 407,827.75, 611,871.63 and 171,106.87 is: 256,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,827.75 : 611,871.63 = 171,106.87 : x
  2. Step 2: Convert to fraction form
    407,827.75/611,871.63 = 171,106.87/x
  3. Step 3: Cross multiply
    407,827.75x = 611,871.63 × 171,106.87
  4. Step 4: Simplify right side
    407,827.75x = 104,695,439,451.10
  5. Step 5: Solve for x
    x = 104,695,439,451.10/407,827.75
  6. Step 6: Final answer
    x = 256,714.85

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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.