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Finding the Fourth Proportional to 466,465.60, 698,661.60 and 404,257.60

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Solution

The fourth proportional to 466,465.60, 698,661.60 and 404,257.60 is: 605,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,465.60 : 698,661.60 = 404,257.60 : x
  2. Step 2: Convert to fraction form
    466,465.60/698,661.60 = 404,257.60/x
  3. Step 3: Cross multiply
    466,465.60x = 698,661.60 × 404,257.60
  4. Step 4: Simplify right side
    466,465.60x = 282,439,261,628.16
  5. Step 5: Solve for x
    x = 282,439,261,628.16/466,465.60
  6. Step 6: Final answer
    x = 605,487.87

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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.