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Finding the Fourth Proportional to 466,369.77, 643,533.06 and 294,222.81

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Solution

The fourth proportional to 466,369.77, 643,533.06 and 294,222.81 is: 405,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,369.77 : 643,533.06 = 294,222.81 : x
  2. Step 2: Convert to fraction form
    466,369.77/643,533.06 = 294,222.81/x
  3. Step 3: Cross multiply
    466,369.77x = 643,533.06 × 294,222.81
  4. Step 4: Simplify right side
    466,369.77x = 189,342,105,241.10
  5. Step 5: Solve for x
    x = 189,342,105,241.10/466,369.77
  6. Step 6: Final answer
    x = 405,991.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.