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Finding the Fourth Proportional to 314,001.64, 433,102.71 and 206,537.32

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Solution

The fourth proportional to 314,001.64, 433,102.71 and 206,537.32 is: 284,877.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,001.64 : 433,102.71 = 206,537.32 : x
  2. Step 2: Convert to fraction form
    314,001.64/433,102.71 = 206,537.32/x
  3. Step 3: Cross multiply
    314,001.64x = 433,102.71 × 206,537.32
  4. Step 4: Simplify right side
    314,001.64x = 89,451,873,008.14
  5. Step 5: Solve for x
    x = 89,451,873,008.14/314,001.64
  6. Step 6: Final answer
    x = 284,877.09

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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.