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Finding the Fourth Proportional to 354,413.32, 489,102.62 and 201,457.88

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Solution

The fourth proportional to 354,413.32, 489,102.62 and 201,457.88 is: 278,018.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,413.32 : 489,102.62 = 201,457.88 : x
  2. Step 2: Convert to fraction form
    354,413.32/489,102.62 = 201,457.88/x
  3. Step 3: Cross multiply
    354,413.32x = 489,102.62 × 201,457.88
  4. Step 4: Simplify right side
    354,413.32x = 98,533,576,927.65
  5. Step 5: Solve for x
    x = 98,533,576,927.65/354,413.32
  6. Step 6: Final answer
    x = 278,018.83

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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.