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Finding the Fourth Proportional to 600,413.46, 900,729.34 and 284,867.43

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Solution

The fourth proportional to 600,413.46, 900,729.34 and 284,867.43 is: 427,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,413.46 : 900,729.34 = 284,867.43 : x
  2. Step 2: Convert to fraction form
    600,413.46/900,729.34 = 284,867.43/x
  3. Step 3: Cross multiply
    600,413.46x = 900,729.34 × 284,867.43
  4. Step 4: Simplify right side
    600,413.46x = 256,588,451,499.23
  5. Step 5: Solve for x
    x = 256,588,451,499.23/600,413.46
  6. Step 6: Final answer
    x = 427,352.93

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1.5x scale

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.