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Finding the Fourth Proportional to 534,816.72, 802,017.72 and 285,362.64

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Solution

The fourth proportional to 534,816.72, 802,017.72 and 285,362.64 is: 427,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,816.72 : 802,017.72 = 285,362.64 : x
  2. Step 2: Convert to fraction form
    534,816.72/802,017.72 = 285,362.64/x
  3. Step 3: Cross multiply
    534,816.72x = 802,017.72 × 285,362.64
  4. Step 4: Simplify right side
    534,816.72x = 228,865,893,905.98
  5. Step 5: Solve for x
    x = 228,865,893,905.98/534,816.72
  6. Step 6: Final answer
    x = 427,933.32

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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.