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Finding the Fourth Proportional to 411,751.79, 617,377.40 and 171,575.45

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Solution

The fourth proportional to 411,751.79, 617,377.40 and 171,575.45 is: 257,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,751.79 : 617,377.40 = 171,575.45 : x
  2. Step 2: Convert to fraction form
    411,751.79/617,377.40 = 171,575.45/x
  3. Step 3: Cross multiply
    411,751.79x = 617,377.40 × 171,575.45
  4. Step 4: Simplify right side
    411,751.79x = 105,926,801,280.07
  5. Step 5: Solve for x
    x = 105,926,801,280.07/411,751.79
  6. Step 6: Final answer
    x = 257,258.88

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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.