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Finding the Fourth Proportional to 596,413.60, 822,737.08 and 354,524.12

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Solution

The fourth proportional to 596,413.60, 822,737.08 and 354,524.12 is: 489,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,413.60 : 822,737.08 = 354,524.12 : x
  2. Step 2: Convert to fraction form
    596,413.60/822,737.08 = 354,524.12/x
  3. Step 3: Cross multiply
    596,413.60x = 822,737.08 × 354,524.12
  4. Step 4: Simplify right side
    596,413.60x = 291,680,139,278.37
  5. Step 5: Solve for x
    x = 291,680,139,278.37/596,413.60
  6. Step 6: Final answer
    x = 489,056.82

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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.