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Finding the Fourth Proportional to 334,005.41, 460,976.71 and 211,508.97

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Solution

The fourth proportional to 334,005.41, 460,976.71 and 211,508.97 is: 291,913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,005.41 : 460,976.71 = 211,508.97 : x
  2. Step 2: Convert to fraction form
    334,005.41/460,976.71 = 211,508.97/x
  3. Step 3: Cross multiply
    334,005.41x = 460,976.71 × 211,508.97
  4. Step 4: Simplify right side
    334,005.41x = 97,500,709,126.09
  5. Step 5: Solve for x
    x = 97,500,709,126.09/334,005.41
  6. Step 6: Final answer
    x = 291,913.56

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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.