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Finding the Fourth Proportional to 338,433.80, 467,038.50 and 202,473.50

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Solution

The fourth proportional to 338,433.80, 467,038.50 and 202,473.50 is: 279,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,433.80 : 467,038.50 = 202,473.50 : x
  2. Step 2: Convert to fraction form
    338,433.80/467,038.50 = 202,473.50/x
  3. Step 3: Cross multiply
    338,433.80x = 467,038.50 × 202,473.50
  4. Step 4: Simplify right side
    338,433.80x = 94,562,919,729.75
  5. Step 5: Solve for x
    x = 94,562,919,729.75/338,433.80
  6. Step 6: Final answer
    x = 279,413.34

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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.