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Finding the Fourth Proportional to 435,157.70, 600,319.84 and 282,234.42

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Solution

The fourth proportional to 435,157.70, 600,319.84 and 282,234.42 is: 389,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,157.70 : 600,319.84 = 282,234.42 : x
  2. Step 2: Convert to fraction form
    435,157.70/600,319.84 = 282,234.42/x
  3. Step 3: Cross multiply
    435,157.70x = 600,319.84 × 282,234.42
  4. Step 4: Simplify right side
    435,157.70x = 169,430,921,856.89
  5. Step 5: Solve for x
    x = 169,430,921,856.89/435,157.70
  6. Step 6: Final answer
    x = 389,355.22

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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.