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Finding the Fourth Proportional to 405,876.78, 608,814.90 and 256,344.30

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Solution

The fourth proportional to 405,876.78, 608,814.90 and 256,344.30 is: 384,516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,876.78 : 608,814.90 = 256,344.30 : x
  2. Step 2: Convert to fraction form
    405,876.78/608,814.90 = 256,344.30/x
  3. Step 3: Cross multiply
    405,876.78x = 608,814.90 × 256,344.30
  4. Step 4: Simplify right side
    405,876.78x = 156,066,229,370.07
  5. Step 5: Solve for x
    x = 156,066,229,370.07/405,876.78
  6. Step 6: Final answer
    x = 384,516.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.