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Finding the Fourth Proportional to 314,289.18, 433,704.78 and 171,048.78

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Solution

The fourth proportional to 314,289.18, 433,704.78 and 171,048.78 is: 236,039.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,289.18 : 433,704.78 = 171,048.78 : x
  2. Step 2: Convert to fraction form
    314,289.18/433,704.78 = 171,048.78/x
  3. Step 3: Cross multiply
    314,289.18x = 433,704.78 × 171,048.78
  4. Step 4: Simplify right side
    314,289.18x = 74,184,673,499.17
  5. Step 5: Solve for x
    x = 74,184,673,499.17/314,289.18
  6. Step 6: Final answer
    x = 236,039.54

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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.