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Finding the Fourth Proportional to 420,277.90, 580,028.18 and 257,029.90

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Solution

The fourth proportional to 420,277.90, 580,028.18 and 257,029.90 is: 354,728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,277.90 : 580,028.18 = 257,029.90 : x
  2. Step 2: Convert to fraction form
    420,277.90/580,028.18 = 257,029.90/x
  3. Step 3: Cross multiply
    420,277.90x = 580,028.18 × 257,029.90
  4. Step 4: Simplify right side
    420,277.90x = 149,084,585,102.58
  5. Step 5: Solve for x
    x = 149,084,585,102.58/420,277.90
  6. Step 6: Final answer
    x = 354,728.59

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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.