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Finding the Fourth Proportional to 465,616.60, 697,825.86 and 405,398.68

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Solution

The fourth proportional to 465,616.60, 697,825.86 and 405,398.68 is: 607,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,616.60 : 697,825.86 = 405,398.68 : x
  2. Step 2: Convert to fraction form
    465,616.60/697,825.86 = 405,398.68/x
  3. Step 3: Cross multiply
    465,616.60x = 697,825.86 × 405,398.68
  4. Step 4: Simplify right side
    465,616.60x = 282,897,682,513.87
  5. Step 5: Solve for x
    x = 282,897,682,513.87/465,616.60
  6. Step 6: Final answer
    x = 607,576.45

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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.