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Finding the Fourth Proportional to 603,413.28, 832,683.42 and 361,829.16

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Solution

The fourth proportional to 603,413.28, 832,683.42 and 361,829.16 is: 499,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,413.28 : 832,683.42 = 361,829.16 : x
  2. Step 2: Convert to fraction form
    603,413.28/832,683.42 = 361,829.16/x
  3. Step 3: Cross multiply
    603,413.28x = 832,683.42 × 361,829.16
  4. Step 4: Simplify right side
    603,413.28x = 301,289,142,404.53
  5. Step 5: Solve for x
    x = 301,289,142,404.53/603,413.28
  6. Step 6: Final answer
    x = 499,308.11

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Why These Related Problems?

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