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Finding the Fourth Proportional to 265,805.76, 366,459.84 and 214,761.36

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Solution

The fourth proportional to 265,805.76, 366,459.84 and 214,761.36 is: 296,086.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,805.76 : 366,459.84 = 214,761.36 : x
  2. Step 2: Convert to fraction form
    265,805.76/366,459.84 = 214,761.36/x
  3. Step 3: Cross multiply
    265,805.76x = 366,459.84 × 214,761.36
  4. Step 4: Simplify right side
    265,805.76x = 78,701,413,623.78
  5. Step 5: Solve for x
    x = 78,701,413,623.78/265,805.76
  6. Step 6: Final answer
    x = 296,086.19

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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.