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Finding the Fourth Proportional to 540,733.86, 811,801.98 and 361,963.01

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Solution

The fourth proportional to 540,733.86, 811,801.98 and 361,963.01 is: 543,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,733.86 : 811,801.98 = 361,963.01 : x
  2. Step 2: Convert to fraction form
    540,733.86/811,801.98 = 361,963.01/x
  3. Step 3: Cross multiply
    540,733.86x = 811,801.98 × 361,963.01
  4. Step 4: Simplify right side
    540,733.86x = 293,842,290,234.27
  5. Step 5: Solve for x
    x = 293,842,290,234.27/540,733.86
  6. Step 6: Final answer
    x = 543,413.89

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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.