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Finding the Fourth Proportional to 643,413.06, 964,492.04 and 306,363.15

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Solution

The fourth proportional to 643,413.06, 964,492.04 and 306,363.15 is: 459,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,413.06 : 964,492.04 = 306,363.15 : x
  2. Step 2: Convert to fraction form
    643,413.06/964,492.04 = 306,363.15/x
  3. Step 3: Cross multiply
    643,413.06x = 964,492.04 × 306,363.15
  4. Step 4: Simplify right side
    643,413.06x = 295,484,820,290.23
  5. Step 5: Solve for x
    x = 295,484,820,290.23/643,413.06
  6. Step 6: Final answer
    x = 459,245.92

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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.