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Finding the Fourth Proportional to 466,580.34, 698,749.52 and 266,293.56

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Solution

The fourth proportional to 466,580.34, 698,749.52 and 266,293.56 is: 398,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,580.34 : 698,749.52 = 266,293.56 : x
  2. Step 2: Convert to fraction form
    466,580.34/698,749.52 = 266,293.56/x
  3. Step 3: Cross multiply
    466,580.34x = 698,749.52 × 266,293.56
  4. Step 4: Simplify right side
    466,580.34x = 186,072,497,229.09
  5. Step 5: Solve for x
    x = 186,072,497,229.09/466,580.34
  6. Step 6: Final answer
    x = 398,800.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.