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Finding the Fourth Proportional to 472,548.66, 708,021.09 and 285,166.50

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Solution

The fourth proportional to 472,548.66, 708,021.09 and 285,166.50 is: 427,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,548.66 : 708,021.09 = 285,166.50 : x
  2. Step 2: Convert to fraction form
    472,548.66/708,021.09 = 285,166.50/x
  3. Step 3: Cross multiply
    472,548.66x = 708,021.09 × 285,166.50
  4. Step 4: Simplify right side
    472,548.66x = 201,903,896,161.49
  5. Step 5: Solve for x
    x = 201,903,896,161.49/472,548.66
  6. Step 6: Final answer
    x = 427,265.83

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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.