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Finding the Fourth Proportional to 338,413.30, 467,901.49 and 296,422.90

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Solution

The fourth proportional to 338,413.30, 467,901.49 and 296,422.90 is: 409,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,413.30 : 467,901.49 = 296,422.90 : x
  2. Step 2: Convert to fraction form
    338,413.30/467,901.49 = 296,422.90/x
  3. Step 3: Cross multiply
    338,413.30x = 467,901.49 × 296,422.90
  4. Step 4: Simplify right side
    338,413.30x = 138,696,716,580.12
  5. Step 5: Solve for x
    x = 138,696,716,580.12/338,413.30
  6. Step 6: Final answer
    x = 409,844.17

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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.