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Finding the Fourth Proportional to 512,097.10, 706,588.50 and 294,263.68

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Solution

The fourth proportional to 512,097.10, 706,588.50 and 294,263.68 is: 406,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,097.10 : 706,588.50 = 294,263.68 : x
  2. Step 2: Convert to fraction form
    512,097.10/706,588.50 = 294,263.68/x
  3. Step 3: Cross multiply
    512,097.10x = 706,588.50 × 294,263.68
  4. Step 4: Simplify right side
    512,097.10x = 207,923,332,255.68
  5. Step 5: Solve for x
    x = 207,923,332,255.68/512,097.10
  6. Step 6: Final answer
    x = 406,023.26

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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.