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Finding the Fourth Proportional to 722,413.52, 996,941.20 and 416,484.64

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Solution

The fourth proportional to 722,413.52, 996,941.20 and 416,484.64 is: 574,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,413.52 : 996,941.20 = 416,484.64 : x
  2. Step 2: Convert to fraction form
    722,413.52/996,941.20 = 416,484.64/x
  3. Step 3: Cross multiply
    722,413.52x = 996,941.20 × 416,484.64
  4. Step 4: Simplify right side
    722,413.52x = 415,210,696,783.17
  5. Step 5: Solve for x
    x = 415,210,696,783.17/722,413.52
  6. Step 6: Final answer
    x = 574,754.88

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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.