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Finding the Fourth Proportional to 314,661.11, 434,230.07 and 171,421.11

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Solution

The fourth proportional to 314,661.11, 434,230.07 and 171,421.11 is: 236,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,661.11 : 434,230.07 = 171,421.11 : x
  2. Step 2: Convert to fraction form
    314,661.11/434,230.07 = 171,421.11/x
  3. Step 3: Cross multiply
    314,661.11x = 434,230.07 × 171,421.11
  4. Step 4: Simplify right side
    314,661.11x = 74,436,199,737.67
  5. Step 5: Solve for x
    x = 74,436,199,737.67/314,661.11
  6. Step 6: Final answer
    x = 236,559.90

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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.