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Finding the Fourth Proportional to 380,231.56, 524,774.82 and 219,055.24

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Solution

The fourth proportional to 380,231.56, 524,774.82 and 219,055.24 is: 302,328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,231.56 : 524,774.82 = 219,055.24 : x
  2. Step 2: Convert to fraction form
    380,231.56/524,774.82 = 219,055.24/x
  3. Step 3: Cross multiply
    380,231.56x = 524,774.82 × 219,055.24
  4. Step 4: Simplify right side
    380,231.56x = 114,954,674,141.06
  5. Step 5: Solve for x
    x = 114,954,674,141.06/380,231.56
  6. Step 6: Final answer
    x = 302,328.07

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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.