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Finding the Fourth Proportional to 314,400.81, 433,982.47 and 187,073.67

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Solution

The fourth proportional to 314,400.81, 433,982.47 and 187,073.67 is: 258,226.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,400.81 : 433,982.47 = 187,073.67 : x
  2. Step 2: Convert to fraction form
    314,400.81/433,982.47 = 187,073.67/x
  3. Step 3: Cross multiply
    314,400.81x = 433,982.47 × 187,073.67
  4. Step 4: Simplify right side
    314,400.81x = 81,186,693,378.56
  5. Step 5: Solve for x
    x = 81,186,693,378.56/314,400.81
  6. Step 6: Final answer
    x = 258,226.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.