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Finding the Fourth Proportional to 314,527.14, 434,055.22 and 171,294.98

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Solution

The fourth proportional to 314,527.14, 434,055.22 and 171,294.98 is: 236,391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,527.14 : 434,055.22 = 171,294.98 : x
  2. Step 2: Convert to fraction form
    314,527.14/434,055.22 = 171,294.98/x
  3. Step 3: Cross multiply
    314,527.14x = 434,055.22 × 171,294.98
  4. Step 4: Simplify right side
    314,527.14x = 74,351,480,228.80
  5. Step 5: Solve for x
    x = 74,351,480,228.80/314,527.14
  6. Step 6: Final answer
    x = 236,391.30

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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.