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Finding the Fourth Proportional to 466,538.40, 698,495.40 and 419,299.20

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Solution

The fourth proportional to 466,538.40, 698,495.40 and 419,299.20 is: 627,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,538.40 : 698,495.40 = 419,299.20 : x
  2. Step 2: Convert to fraction form
    466,538.40/698,495.40 = 419,299.20/x
  3. Step 3: Cross multiply
    466,538.40x = 698,495.40 × 419,299.20
  4. Step 4: Simplify right side
    466,538.40x = 292,878,562,423.68
  5. Step 5: Solve for x
    x = 292,878,562,423.68/466,538.40
  6. Step 6: Final answer
    x = 627,769.47

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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.