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Finding the Fourth Proportional to 380,224.56, 524,765.16 and 219,048.24

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Solution

The fourth proportional to 380,224.56, 524,765.16 and 219,048.24 is: 302,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,224.56 : 524,765.16 = 219,048.24 : x
  2. Step 2: Convert to fraction form
    380,224.56/524,765.16 = 219,048.24/x
  3. Step 3: Cross multiply
    380,224.56x = 524,765.16 × 219,048.24
  4. Step 4: Simplify right side
    380,224.56x = 114,948,884,711.32
  5. Step 5: Solve for x
    x = 114,948,884,711.32/380,224.56
  6. Step 6: Final answer
    x = 302,318.41

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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.