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Finding the Fourth Proportional to 514,435.15, 709,766.76 and 332,859.49

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Solution

The fourth proportional to 514,435.15, 709,766.76 and 332,859.49 is: 459,246.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,435.15 : 709,766.76 = 332,859.49 : x
  2. Step 2: Convert to fraction form
    514,435.15/709,766.76 = 332,859.49/x
  3. Step 3: Cross multiply
    514,435.15x = 709,766.76 × 332,859.49
  4. Step 4: Simplify right side
    514,435.15x = 236,252,601,752.55
  5. Step 5: Solve for x
    x = 236,252,601,752.55/514,435.15
  6. Step 6: Final answer
    x = 459,246.62

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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.