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Finding the Fourth Proportional to 306,942.30, 460,413.45 and 96,552.90

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Solution

The fourth proportional to 306,942.30, 460,413.45 and 96,552.90 is: 144,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,942.30 : 460,413.45 = 96,552.90 : x
  2. Step 2: Convert to fraction form
    306,942.30/460,413.45 = 96,552.90/x
  3. Step 3: Cross multiply
    306,942.30x = 460,413.45 × 96,552.90
  4. Step 4: Simplify right side
    306,942.30x = 44,454,253,796.51
  5. Step 5: Solve for x
    x = 44,454,253,796.51/306,942.30
  6. Step 6: Final answer
    x = 144,829.35

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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.