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Finding the Fourth Proportional to 467,030, 644,502.12 and 265,826

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Solution

The fourth proportional to 467,030, 644,502.12 and 265,826 is: 366,840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,030 : 644,502.12 = 265,826 : x
  2. Step 2: Convert to fraction form
    467,030/644,502.12 = 265,826/x
  3. Step 3: Cross multiply
    467,030x = 644,502.12 × 265,826
  4. Step 4: Simplify right side
    467,030x = 171,325,420,551.12
  5. Step 5: Solve for x
    x = 171,325,420,551.12/467,030
  6. Step 6: Final answer
    x = 366,840.29

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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.