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Finding the Fourth Proportional to 478,021.64, 658,247.12 and 467,413.32

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Solution

The fourth proportional to 478,021.64, 658,247.12 and 467,413.32 is: 643,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,021.64 : 658,247.12 = 467,413.32 : x
  2. Step 2: Convert to fraction form
    478,021.64/658,247.12 = 467,413.32/x
  3. Step 3: Cross multiply
    478,021.64x = 658,247.12 × 467,413.32
  4. Step 4: Simplify right side
    478,021.64x = 307,673,471,739.64
  5. Step 5: Solve for x
    x = 307,673,471,739.64/478,021.64
  6. Step 6: Final answer
    x = 643,639.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.