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Finding the Fourth Proportional to 420,274.89, 580,024.04 and 257,026.90

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Solution

The fourth proportional to 420,274.89, 580,024.04 and 257,026.90 is: 354,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,274.89 : 580,024.04 = 257,026.90 : x
  2. Step 2: Convert to fraction form
    420,274.89/580,024.04 = 257,026.90/x
  3. Step 3: Cross multiply
    420,274.89x = 580,024.04 × 257,026.90
  4. Step 4: Simplify right side
    420,274.89x = 149,081,782,868.30
  5. Step 5: Solve for x
    x = 149,081,782,868.30/420,274.89
  6. Step 6: Final answer
    x = 354,724.46

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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.