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Finding the Fourth Proportional to 232,275.60, 348,413.40 and 206,906.40

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Solution

The fourth proportional to 232,275.60, 348,413.40 and 206,906.40 is: 310,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,275.60 : 348,413.40 = 206,906.40 : x
  2. Step 2: Convert to fraction form
    232,275.60/348,413.40 = 206,906.40/x
  3. Step 3: Cross multiply
    232,275.60x = 348,413.40 × 206,906.40
  4. Step 4: Simplify right side
    232,275.60x = 72,088,962,305.76
  5. Step 5: Solve for x
    x = 72,088,962,305.76/232,275.60
  6. Step 6: Final answer
    x = 310,359.60

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1.5x scale

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.