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Finding the Fourth Proportional to 501,180.97, 752,145.09 and 201,664.10

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Solution

The fourth proportional to 501,180.97, 752,145.09 and 201,664.10 is: 302,646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,180.97 : 752,145.09 = 201,664.10 : x
  2. Step 2: Convert to fraction form
    501,180.97/752,145.09 = 201,664.10/x
  3. Step 3: Cross multiply
    501,180.97x = 752,145.09 × 201,664.10
  4. Step 4: Simplify right side
    501,180.97x = 151,680,662,644.27
  5. Step 5: Solve for x
    x = 151,680,662,644.27/501,180.97
  6. Step 6: Final answer
    x = 302,646.49

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1.5x scale

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.