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Finding the Fourth Proportional to 340,682.49, 470,135.75 and 189,776.25

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Solution

The fourth proportional to 340,682.49, 470,135.75 and 189,776.25 is: 261,887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,682.49 : 470,135.75 = 189,776.25 : x
  2. Step 2: Convert to fraction form
    340,682.49/470,135.75 = 189,776.25/x
  3. Step 3: Cross multiply
    340,682.49x = 470,135.75 × 189,776.25
  4. Step 4: Simplify right side
    340,682.49x = 89,220,598,677.06
  5. Step 5: Solve for x
    x = 89,220,598,677.06/340,682.49
  6. Step 6: Final answer
    x = 261,887.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.