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Finding the Fourth Proportional to 465,710.83, 697,173.82 and 285,227.93

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Solution

The fourth proportional to 465,710.83, 697,173.82 and 285,227.93 is: 426,989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,710.83 : 697,173.82 = 285,227.93 : x
  2. Step 2: Convert to fraction form
    465,710.83/697,173.82 = 285,227.93/x
  3. Step 3: Cross multiply
    465,710.83x = 697,173.82 × 285,227.93
  4. Step 4: Simplify right side
    465,710.83x = 198,853,445,528.79
  5. Step 5: Solve for x
    x = 198,853,445,528.79/465,710.83
  6. Step 6: Final answer
    x = 426,989.09

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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.