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Finding the Fourth Proportional to 600,048.78, 827,677.16 and 384,847.98

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Solution

The fourth proportional to 600,048.78, 827,677.16 and 384,847.98 is: 530,839.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,048.78 : 827,677.16 = 384,847.98 : x
  2. Step 2: Convert to fraction form
    600,048.78/827,677.16 = 384,847.98/x
  3. Step 3: Cross multiply
    600,048.78x = 827,677.16 × 384,847.98
  4. Step 4: Simplify right side
    600,048.78x = 318,529,883,118.14
  5. Step 5: Solve for x
    x = 318,529,883,118.14/600,048.78
  6. Step 6: Final answer
    x = 530,839.98

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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.