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Finding the Fourth Proportional to 314,049.35, 470,788.94 and 114,228.47

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Solution

The fourth proportional to 314,049.35, 470,788.94 and 114,228.47 is: 171,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,049.35 : 470,788.94 = 114,228.47 : x
  2. Step 2: Convert to fraction form
    314,049.35/470,788.94 = 114,228.47/x
  3. Step 3: Cross multiply
    314,049.35x = 470,788.94 × 114,228.47
  4. Step 4: Simplify right side
    314,049.35x = 53,777,501,771.67
  5. Step 5: Solve for x
    x = 53,777,501,771.67/314,049.35
  6. Step 6: Final answer
    x = 171,239.01

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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.