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Finding the Fourth Proportional to 419,305.76, 578,626.16 and 256,234.94

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Solution

The fourth proportional to 419,305.76, 578,626.16 and 256,234.94 is: 353,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,305.76 : 578,626.16 = 256,234.94 : x
  2. Step 2: Convert to fraction form
    419,305.76/578,626.16 = 256,234.94/x
  3. Step 3: Cross multiply
    419,305.76x = 578,626.16 × 256,234.94
  4. Step 4: Simplify right side
    419,305.76x = 148,264,237,385.57
  5. Step 5: Solve for x
    x = 148,264,237,385.57/419,305.76
  6. Step 6: Final answer
    x = 353,594.57

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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.