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Finding the Fourth Proportional to 514,364.88, 709,659.50 and 333,215.66

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Solution

The fourth proportional to 514,364.88, 709,659.50 and 333,215.66 is: 459,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,364.88 : 709,659.50 = 333,215.66 : x
  2. Step 2: Convert to fraction form
    514,364.88/709,659.50 = 333,215.66/x
  3. Step 3: Cross multiply
    514,364.88x = 709,659.50 × 333,215.66
  4. Step 4: Simplify right side
    514,364.88x = 236,469,658,667.77
  5. Step 5: Solve for x
    x = 236,469,658,667.77/514,364.88
  6. Step 6: Final answer
    x = 459,731.35

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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.