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Finding the Fourth Proportional to 535,413.02, 738,746.07 and 320,471.42

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Solution

The fourth proportional to 535,413.02, 738,746.07 and 320,471.42 is: 442,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,413.02 : 738,746.07 = 320,471.42 : x
  2. Step 2: Convert to fraction form
    535,413.02/738,746.07 = 320,471.42/x
  3. Step 3: Cross multiply
    535,413.02x = 738,746.07 × 320,471.42
  4. Step 4: Simplify right side
    535,413.02x = 236,747,002,072.32
  5. Step 5: Solve for x
    x = 236,747,002,072.32/535,413.02
  6. Step 6: Final answer
    x = 442,176.40

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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.