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Finding the Fourth Proportional to 354,493.14, 531,747 and 197,719.26

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Solution

The fourth proportional to 354,493.14, 531,747 and 197,719.26 is: 296,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,493.14 : 531,747 = 197,719.26 : x
  2. Step 2: Convert to fraction form
    354,493.14/531,747 = 197,719.26/x
  3. Step 3: Cross multiply
    354,493.14x = 531,747 × 197,719.26
  4. Step 4: Simplify right side
    354,493.14x = 105,136,623,347.22
  5. Step 5: Solve for x
    x = 105,136,623,347.22/354,493.14
  6. Step 6: Final answer
    x = 296,582.96

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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.