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Finding the Fourth Proportional to 469,142.60, 647,426.70 and 265,181.31

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Solution

The fourth proportional to 469,142.60, 647,426.70 and 265,181.31 is: 365,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,142.60 : 647,426.70 = 265,181.31 : x
  2. Step 2: Convert to fraction form
    469,142.60/647,426.70 = 265,181.31/x
  3. Step 3: Cross multiply
    469,142.60x = 647,426.70 × 265,181.31
  4. Step 4: Simplify right side
    469,142.60x = 171,685,460,434.98
  5. Step 5: Solve for x
    x = 171,685,460,434.98/469,142.60
  6. Step 6: Final answer
    x = 365,955.81

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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.