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Finding the Fourth Proportional to 419,870.25, 579,627.80 and 290,906.51

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Solution

The fourth proportional to 419,870.25, 579,627.80 and 290,906.51 is: 401,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,870.25 : 579,627.80 = 290,906.51 : x
  2. Step 2: Convert to fraction form
    419,870.25/579,627.80 = 290,906.51/x
  3. Step 3: Cross multiply
    419,870.25x = 579,627.80 × 290,906.51
  4. Step 4: Simplify right side
    419,870.25x = 168,617,497,135.21
  5. Step 5: Solve for x
    x = 168,617,497,135.21/419,870.25
  6. Step 6: Final answer
    x = 401,594.30

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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.