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Finding the Fourth Proportional to 419,121.43, 578,400.31 and 296,832.89

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Solution

The fourth proportional to 419,121.43, 578,400.31 and 296,832.89 is: 409,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,121.43 : 578,400.31 = 296,832.89 : x
  2. Step 2: Convert to fraction form
    419,121.43/578,400.31 = 296,832.89/x
  3. Step 3: Cross multiply
    419,121.43x = 578,400.31 × 296,832.89
  4. Step 4: Simplify right side
    419,121.43x = 171,688,235,594.20
  5. Step 5: Solve for x
    x = 171,688,235,594.20/419,121.43
  6. Step 6: Final answer
    x = 409,638.41

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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.