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Finding the Fourth Proportional to 469,302.31, 647,649.94 and 265,383.74

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Solution

The fourth proportional to 469,302.31, 647,649.94 and 265,383.74 is: 366,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,302.31 : 647,649.94 = 265,383.74 : x
  2. Step 2: Convert to fraction form
    469,302.31/647,649.94 = 265,383.74/x
  3. Step 3: Cross multiply
    469,302.31x = 647,649.94 × 265,383.74
  4. Step 4: Simplify right side
    469,302.31x = 171,875,762,810.14
  5. Step 5: Solve for x
    x = 171,875,762,810.14/469,302.31
  6. Step 6: Final answer
    x = 366,236.77

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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.