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Finding the Fourth Proportional to 616,364.20, 923,963.10 and 363,838.60

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Solution

The fourth proportional to 616,364.20, 923,963.10 and 363,838.60 is: 545,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,364.20 : 923,963.10 = 363,838.60 : x
  2. Step 2: Convert to fraction form
    616,364.20/923,963.10 = 363,838.60/x
  3. Step 3: Cross multiply
    616,364.20x = 923,963.10 × 363,838.60
  4. Step 4: Simplify right side
    616,364.20x = 336,173,440,755.66
  5. Step 5: Solve for x
    x = 336,173,440,755.66/616,364.20
  6. Step 6: Final answer
    x = 545,413.64

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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.