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Finding the Fourth Proportional to 466,077.56, 698,673.41 and 297,123.71

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Solution

The fourth proportional to 466,077.56, 698,673.41 and 297,123.71 is: 445,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,077.56 : 698,673.41 = 297,123.71 : x
  2. Step 2: Convert to fraction form
    466,077.56/698,673.41 = 297,123.71/x
  3. Step 3: Cross multiply
    466,077.56x = 698,673.41 × 297,123.71
  4. Step 4: Simplify right side
    466,077.56x = 207,592,434,171.93
  5. Step 5: Solve for x
    x = 207,592,434,171.93/466,077.56
  6. Step 6: Final answer
    x = 445,403.19

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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.