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Finding the Fourth Proportional to 604,114.51, 906,566 and 225,338.25

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Solution

The fourth proportional to 604,114.51, 906,566 and 225,338.25 is: 338,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,114.51 : 906,566 = 225,338.25 : x
  2. Step 2: Convert to fraction form
    604,114.51/906,566 = 225,338.25/x
  3. Step 3: Cross multiply
    604,114.51x = 906,566 × 225,338.25
  4. Step 4: Simplify right side
    604,114.51x = 204,283,995,949.50
  5. Step 5: Solve for x
    x = 204,283,995,949.50/604,114.51
  6. Step 6: Final answer
    x = 338,154.43

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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.