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Finding the Fourth Proportional to 274,281.12, 411,109.38 and 171,746.37

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Solution

The fourth proportional to 274,281.12, 411,109.38 and 171,746.37 is: 257,424.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,281.12 : 411,109.38 = 171,746.37 : x
  2. Step 2: Convert to fraction form
    274,281.12/411,109.38 = 171,746.37/x
  3. Step 3: Cross multiply
    274,281.12x = 411,109.38 × 171,746.37
  4. Step 4: Simplify right side
    274,281.12x = 70,606,543,687.95
  5. Step 5: Solve for x
    x = 70,606,543,687.95/274,281.12
  6. Step 6: Final answer
    x = 257,424.00

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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.