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Finding the Fourth Proportional to 314,006.64, 433,109.58 and 206,542.32

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Solution

The fourth proportional to 314,006.64, 433,109.58 and 206,542.32 is: 284,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,006.64 : 433,109.58 = 206,542.32 : x
  2. Step 2: Convert to fraction form
    314,006.64/433,109.58 = 206,542.32/x
  3. Step 3: Cross multiply
    314,006.64x = 433,109.58 × 206,542.32
  4. Step 4: Simplify right side
    314,006.64x = 89,455,457,467.43
  5. Step 5: Solve for x
    x = 89,455,457,467.43/314,006.64
  6. Step 6: Final answer
    x = 284,883.97

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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.