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Finding the Fourth Proportional to 494,644.88, 742,026.75 and 174,731.06

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Solution

The fourth proportional to 494,644.88, 742,026.75 and 174,731.06 is: 262,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,644.88 : 742,026.75 = 174,731.06 : x
  2. Step 2: Convert to fraction form
    494,644.88/742,026.75 = 174,731.06/x
  3. Step 3: Cross multiply
    494,644.88x = 742,026.75 × 174,731.06
  4. Step 4: Simplify right side
    494,644.88x = 129,655,120,575.86
  5. Step 5: Solve for x
    x = 129,655,120,575.86/494,644.88
  6. Step 6: Final answer
    x = 262,117.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.