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Finding the Fourth Proportional to 494,797.14, 742,316.58 and 157,837.77

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Solution

The fourth proportional to 494,797.14, 742,316.58 and 157,837.77 is: 236,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,797.14 : 742,316.58 = 157,837.77 : x
  2. Step 2: Convert to fraction form
    494,797.14/742,316.58 = 157,837.77/x
  3. Step 3: Cross multiply
    494,797.14x = 742,316.58 × 157,837.77
  4. Step 4: Simplify right side
    494,797.14x = 117,165,593,621.23
  5. Step 5: Solve for x
    x = 117,165,593,621.23/494,797.14
  6. Step 6: Final answer
    x = 236,795.21

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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.