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Finding the Fourth Proportional to 525,934, 725,745 and 293,346.55

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Solution

The fourth proportional to 525,934, 725,745 and 293,346.55 is: 404,793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,934 : 725,745 = 293,346.55 : x
  2. Step 2: Convert to fraction form
    525,934/725,745 = 293,346.55/x
  3. Step 3: Cross multiply
    525,934x = 725,745 × 293,346.55
  4. Step 4: Simplify right side
    525,934x = 212,894,791,929.75
  5. Step 5: Solve for x
    x = 212,894,791,929.75/525,934
  6. Step 6: Final answer
    x = 404,793.74

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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.