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Finding the Fourth Proportional to 433,413.89, 598,161.68 and 252,133.46

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Solution

The fourth proportional to 433,413.89, 598,161.68 and 252,133.46 is: 347,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,413.89 : 598,161.68 = 252,133.46 : x
  2. Step 2: Convert to fraction form
    433,413.89/598,161.68 = 252,133.46/x
  3. Step 3: Cross multiply
    433,413.89x = 598,161.68 × 252,133.46
  4. Step 4: Simplify right side
    433,413.89x = 150,816,574,017.81
  5. Step 5: Solve for x
    x = 150,816,574,017.81/433,413.89
  6. Step 6: Final answer
    x = 347,973.56

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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.