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Finding the Fourth Proportional to 411,585.73, 617,360.04 and 171,600.76

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Solution

The fourth proportional to 411,585.73, 617,360.04 and 171,600.76 is: 257,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,585.73 : 617,360.04 = 171,600.76 : x
  2. Step 2: Convert to fraction form
    411,585.73/617,360.04 = 171,600.76/x
  3. Step 3: Cross multiply
    411,585.73x = 617,360.04 × 171,600.76
  4. Step 4: Simplify right side
    411,585.73x = 105,939,452,057.63
  5. Step 5: Solve for x
    x = 105,939,452,057.63/411,585.73
  6. Step 6: Final answer
    x = 257,393.40

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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.