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Finding the Fourth Proportional to 369,413.44, 509,792.88 and 199,647.16

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Solution

The fourth proportional to 369,413.44, 509,792.88 and 199,647.16 is: 275,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,413.44 : 509,792.88 = 199,647.16 : x
  2. Step 2: Convert to fraction form
    369,413.44/509,792.88 = 199,647.16/x
  3. Step 3: Cross multiply
    369,413.44x = 509,792.88 × 199,647.16
  4. Step 4: Simplify right side
    369,413.44x = 101,778,700,680.22
  5. Step 5: Solve for x
    x = 101,778,700,680.22/369,413.44
  6. Step 6: Final answer
    x = 275,514.34

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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.