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Finding the Fourth Proportional to 704,311, 1,056,548.66 and 255,243.40

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Solution

The fourth proportional to 704,311, 1,056,548.66 and 255,243.40 is: 382,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,311 : 1,056,548.66 = 255,243.40 : x
  2. Step 2: Convert to fraction form
    704,311/1,056,548.66 = 255,243.40/x
  3. Step 3: Cross multiply
    704,311x = 1,056,548.66 × 255,243.40
  4. Step 4: Simplify right side
    704,311x = 269,677,072,243.84
  5. Step 5: Solve for x
    x = 269,677,072,243.84/704,311
  6. Step 6: Final answer
    x = 382,894.87

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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.