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Finding the Fourth Proportional to 494,694.22, 742,070.76 and 191,090.68

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Solution

The fourth proportional to 494,694.22, 742,070.76 and 191,090.68 is: 286,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,694.22 : 742,070.76 = 191,090.68 : x
  2. Step 2: Convert to fraction form
    494,694.22/742,070.76 = 191,090.68/x
  3. Step 3: Cross multiply
    494,694.22x = 742,070.76 × 191,090.68
  4. Step 4: Simplify right side
    494,694.22x = 141,802,806,136.52
  5. Step 5: Solve for x
    x = 141,802,806,136.52/494,694.22
  6. Step 6: Final answer
    x = 286,647.39

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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.