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Finding the Fourth Proportional to 256,254.42, 384,418.37 and 78,776.32

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Solution

The fourth proportional to 256,254.42, 384,418.37 and 78,776.32 is: 118,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,254.42 : 384,418.37 = 78,776.32 : x
  2. Step 2: Convert to fraction form
    256,254.42/384,418.37 = 78,776.32/x
  3. Step 3: Cross multiply
    256,254.42x = 384,418.37 × 78,776.32
  4. Step 4: Simplify right side
    256,254.42x = 30,283,064,529.00
  5. Step 5: Solve for x
    x = 30,283,064,529.00/256,254.42
  6. Step 6: Final answer
    x = 118,175.77

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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.