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Finding the Fourth Proportional to 474,413.55, 712,041.32 and 221,831.45

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Solution

The fourth proportional to 474,413.55, 712,041.32 and 221,831.45 is: 332,944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,413.55 : 712,041.32 = 221,831.45 : x
  2. Step 2: Convert to fraction form
    474,413.55/712,041.32 = 221,831.45/x
  3. Step 3: Cross multiply
    474,413.55x = 712,041.32 × 221,831.45
  4. Step 4: Simplify right side
    474,413.55x = 157,953,158,475.51
  5. Step 5: Solve for x
    x = 157,953,158,475.51/474,413.55
  6. Step 6: Final answer
    x = 332,944.03

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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.