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Finding the Fourth Proportional to 368,967.71, 509,213.72 and 225,823.07

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Solution

The fourth proportional to 368,967.71, 509,213.72 and 225,823.07 is: 311,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,967.71 : 509,213.72 = 225,823.07 : x
  2. Step 2: Convert to fraction form
    368,967.71/509,213.72 = 225,823.07/x
  3. Step 3: Cross multiply
    368,967.71x = 509,213.72 × 225,823.07
  4. Step 4: Simplify right side
    368,967.71x = 114,992,205,536.52
  5. Step 5: Solve for x
    x = 114,992,205,536.52/368,967.71
  6. Step 6: Final answer
    x = 311,659.27

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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.