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Finding the Fourth Proportional to 368,967.96, 509,214.06 and 225,823.32

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Solution

The fourth proportional to 368,967.96, 509,214.06 and 225,823.32 is: 311,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,967.96 : 509,214.06 = 225,823.32 : x
  2. Step 2: Convert to fraction form
    368,967.96/509,214.06 = 225,823.32/x
  3. Step 3: Cross multiply
    368,967.96x = 509,214.06 × 225,823.32
  4. Step 4: Simplify right side
    368,967.96x = 114,992,409,619.88
  5. Step 5: Solve for x
    x = 114,992,409,619.88/368,967.96
  6. Step 6: Final answer
    x = 311,659.61

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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.