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Finding the Fourth Proportional to 565,413.60, 848,509.20 and 232,989.60

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Solution

The fourth proportional to 565,413.60, 848,509.20 and 232,989.60 is: 349,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,413.60 : 848,509.20 = 232,989.60 : x
  2. Step 2: Convert to fraction form
    565,413.60/848,509.20 = 232,989.60/x
  3. Step 3: Cross multiply
    565,413.60x = 848,509.20 × 232,989.60
  4. Step 4: Simplify right side
    565,413.60x = 197,693,819,104.32
  5. Step 5: Solve for x
    x = 197,693,819,104.32/565,413.60
  6. Step 6: Final answer
    x = 349,644.61

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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.