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Finding the Fourth Proportional to 512,126.01, 706,628.43 and 294,292.62

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Solution

The fourth proportional to 512,126.01, 706,628.43 and 294,292.62 is: 406,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,126.01 : 706,628.43 = 294,292.62 : x
  2. Step 2: Convert to fraction form
    512,126.01/706,628.43 = 294,292.62/x
  3. Step 3: Cross multiply
    512,126.01x = 706,628.43 × 294,292.62
  4. Step 4: Simplify right side
    512,126.01x = 207,955,532,031.19
  5. Step 5: Solve for x
    x = 207,955,532,031.19/512,126.01
  6. Step 6: Final answer
    x = 406,063.21

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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.