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Finding the Fourth Proportional to 514,434.15, 709,765.38 and 332,858.49

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Solution

The fourth proportional to 514,434.15, 709,765.38 and 332,858.49 is: 459,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,434.15 : 709,765.38 = 332,858.49 : x
  2. Step 2: Convert to fraction form
    514,434.15/709,765.38 = 332,858.49/x
  3. Step 3: Cross multiply
    514,434.15x = 709,765.38 × 332,858.49
  4. Step 4: Simplify right side
    514,434.15x = 236,251,432,641.08
  5. Step 5: Solve for x
    x = 236,251,432,641.08/514,434.15
  6. Step 6: Final answer
    x = 459,245.24

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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.