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Finding the Fourth Proportional to 600,077.68, 827,717 and 384,876.88

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Solution

The fourth proportional to 600,077.68, 827,717 and 384,876.88 is: 530,879.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,077.68 : 827,717 = 384,876.88 : x
  2. Step 2: Convert to fraction form
    600,077.68/827,717 = 384,876.88/x
  3. Step 3: Cross multiply
    600,077.68x = 827,717 × 384,876.88
  4. Step 4: Simplify right side
    600,077.68x = 318,569,136,482.96
  5. Step 5: Solve for x
    x = 318,569,136,482.96/600,077.68
  6. Step 6: Final answer
    x = 530,879.83

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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.