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Finding the Fourth Proportional to 538,096.16, 742,577.73 and 296,379.61

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Solution

The fourth proportional to 538,096.16, 742,577.73 and 296,379.61 is: 409,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,096.16 : 742,577.73 = 296,379.61 : x
  2. Step 2: Convert to fraction form
    538,096.16/742,577.73 = 296,379.61/x
  3. Step 3: Cross multiply
    538,096.16x = 742,577.73 × 296,379.61
  4. Step 4: Simplify right side
    538,096.16x = 220,084,898,012.09
  5. Step 5: Solve for x
    x = 220,084,898,012.09/538,096.16
  6. Step 6: Final answer
    x = 409,006.63

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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.