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Finding the Fourth Proportional to 320,897.36, 442,954.68 and 186,761.36

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Solution

The fourth proportional to 320,897.36, 442,954.68 and 186,761.36 is: 257,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,897.36 : 442,954.68 = 186,761.36 : x
  2. Step 2: Convert to fraction form
    320,897.36/442,954.68 = 186,761.36/x
  3. Step 3: Cross multiply
    320,897.36x = 442,954.68 × 186,761.36
  4. Step 4: Simplify right side
    320,897.36x = 82,726,818,455.16
  5. Step 5: Solve for x
    x = 82,726,818,455.16/320,897.36
  6. Step 6: Final answer
    x = 257,798.38

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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.