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Finding the Fourth Proportional to 298,413.96, 447,457.35 and 118,316.94

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Solution

The fourth proportional to 298,413.96, 447,457.35 and 118,316.94 is: 177,410.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,413.96 : 447,457.35 = 118,316.94 : x
  2. Step 2: Convert to fraction form
    298,413.96/447,457.35 = 118,316.94/x
  3. Step 3: Cross multiply
    298,413.96x = 447,457.35 × 118,316.94
  4. Step 4: Simplify right side
    298,413.96x = 52,941,784,432.51
  5. Step 5: Solve for x
    x = 52,941,784,432.51/298,413.96
  6. Step 6: Final answer
    x = 177,410.55

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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.