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Finding the Fourth Proportional to 370,413.02, 511,172.42 and 200,647.14

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Solution

The fourth proportional to 370,413.02, 511,172.42 and 200,647.14 is: 276,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,413.02 : 511,172.42 = 200,647.14 : x
  2. Step 2: Convert to fraction form
    370,413.02/511,172.42 = 200,647.14/x
  3. Step 3: Cross multiply
    370,413.02x = 511,172.42 × 200,647.14
  4. Step 4: Simplify right side
    370,413.02x = 102,565,284,119.88
  5. Step 5: Solve for x
    x = 102,565,284,119.88/370,413.02
  6. Step 6: Final answer
    x = 276,894.38

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1.5x scale

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.