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Finding the Fourth Proportional to 534,137.80, 802,956.30 and 377,451.40

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Solution

The fourth proportional to 534,137.80, 802,956.30 and 377,451.40 is: 567,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,137.80 : 802,956.30 = 377,451.40 : x
  2. Step 2: Convert to fraction form
    534,137.80/802,956.30 = 377,451.40/x
  3. Step 3: Cross multiply
    534,137.80x = 802,956.30 × 377,451.40
  4. Step 4: Simplify right side
    534,137.80x = 303,076,979,573.82
  5. Step 5: Solve for x
    x = 303,076,979,573.82/534,137.80
  6. Step 6: Final answer
    x = 567,413.46

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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.