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Finding the Fourth Proportional to 510,937.25, 705,093.59 and 296,201.79

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Solution

The fourth proportional to 510,937.25, 705,093.59 and 296,201.79 is: 408,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,937.25 : 705,093.59 = 296,201.79 : x
  2. Step 2: Convert to fraction form
    510,937.25/705,093.59 = 296,201.79/x
  3. Step 3: Cross multiply
    510,937.25x = 705,093.59 × 296,201.79
  4. Step 4: Simplify right side
    510,937.25x = 208,849,984,216.03
  5. Step 5: Solve for x
    x = 208,849,984,216.03/510,937.25
  6. Step 6: Final answer
    x = 408,758.58

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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.