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Finding the Fourth Proportional to 466,074.81, 698,669.28 and 297,120.96

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Solution

The fourth proportional to 466,074.81, 698,669.28 and 297,120.96 is: 445,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,074.81 : 698,669.28 = 297,120.96 : x
  2. Step 2: Convert to fraction form
    466,074.81/698,669.28 = 297,120.96/x
  3. Step 3: Cross multiply
    466,074.81x = 698,669.28 × 297,120.96
  4. Step 4: Simplify right side
    466,074.81x = 207,589,287,196.11
  5. Step 5: Solve for x
    x = 207,589,287,196.11/466,074.81
  6. Step 6: Final answer
    x = 445,399.07

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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.