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Finding the Fourth Proportional to 301,261.98, 415,774.32 and 192,465.82

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Solution

The fourth proportional to 301,261.98, 415,774.32 and 192,465.82 is: 265,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,261.98 : 415,774.32 = 192,465.82 : x
  2. Step 2: Convert to fraction form
    301,261.98/415,774.32 = 192,465.82/x
  3. Step 3: Cross multiply
    301,261.98x = 415,774.32 × 192,465.82
  4. Step 4: Simplify right side
    301,261.98x = 80,022,345,231.71
  5. Step 5: Solve for x
    x = 80,022,345,231.71/301,261.98
  6. Step 6: Final answer
    x = 265,623.77

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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.