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Finding the Fourth Proportional to 515,518.47, 711,413.96 and 286,110.32

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Solution

The fourth proportional to 515,518.47, 711,413.96 and 286,110.32 is: 394,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,518.47 : 711,413.96 = 286,110.32 : x
  2. Step 2: Convert to fraction form
    515,518.47/711,413.96 = 286,110.32/x
  3. Step 3: Cross multiply
    515,518.47x = 711,413.96 × 286,110.32
  4. Step 4: Simplify right side
    515,518.47x = 203,542,870,760.45
  5. Step 5: Solve for x
    x = 203,542,870,760.45/515,518.47
  6. Step 6: Final answer
    x = 394,831.38

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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.