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Finding the Fourth Proportional to 514,228.23, 709,399.44 and 332,998.54

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Solution

The fourth proportional to 514,228.23, 709,399.44 and 332,998.54 is: 459,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,228.23 : 709,399.44 = 332,998.54 : x
  2. Step 2: Convert to fraction form
    514,228.23/709,399.44 = 332,998.54/x
  3. Step 3: Cross multiply
    514,228.23x = 709,399.44 × 332,998.54
  4. Step 4: Simplify right side
    514,228.23x = 236,228,976,023.32
  5. Step 5: Solve for x
    x = 236,228,976,023.32/514,228.23
  6. Step 6: Final answer
    x = 459,385.47

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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.