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Finding the Fourth Proportional to 466,369.20, 698,569.65 and 416,505.60

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Solution

The fourth proportional to 466,369.20, 698,569.65 and 416,505.60 is: 623,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,369.20 : 698,569.65 = 416,505.60 : x
  2. Step 2: Convert to fraction form
    466,369.20/698,569.65 = 416,505.60/x
  3. Step 3: Cross multiply
    466,369.20x = 698,569.65 × 416,505.60
  4. Step 4: Simplify right side
    466,369.20x = 290,958,171,215.04
  5. Step 5: Solve for x
    x = 290,958,171,215.04/466,369.20
  6. Step 6: Final answer
    x = 623,879.47

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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.