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Finding the Fourth Proportional to 411,595.22, 617,374.31 and 171,610.25

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Solution

The fourth proportional to 411,595.22, 617,374.31 and 171,610.25 is: 257,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,595.22 : 617,374.31 = 171,610.25 : x
  2. Step 2: Convert to fraction form
    411,595.22/617,374.31 = 171,610.25/x
  3. Step 3: Cross multiply
    411,595.22x = 617,374.31 × 171,610.25
  4. Step 4: Simplify right side
    411,595.22x = 105,947,755,737.76
  5. Step 5: Solve for x
    x = 105,947,755,737.76/411,595.22
  6. Step 6: Final answer
    x = 257,407.64

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1.5x scale

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.