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Finding the Fourth Proportional to 343,285.98, 514,264.77 and 193,069.86

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Solution

The fourth proportional to 343,285.98, 514,264.77 and 193,069.86 is: 289,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,285.98 : 514,264.77 = 193,069.86 : x
  2. Step 2: Convert to fraction form
    343,285.98/514,264.77 = 193,069.86/x
  3. Step 3: Cross multiply
    343,285.98x = 514,264.77 × 193,069.86
  4. Step 4: Simplify right side
    343,285.98x = 99,289,027,146.83
  5. Step 5: Solve for x
    x = 99,289,027,146.83/343,285.98
  6. Step 6: Final answer
    x = 289,231.23

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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.