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Finding the Fourth Proportional to 314,562.96, 434,094.66 and 171,322.56

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Solution

The fourth proportional to 314,562.96, 434,094.66 and 171,322.56 is: 236,423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,562.96 : 434,094.66 = 171,322.56 : x
  2. Step 2: Convert to fraction form
    314,562.96/434,094.66 = 171,322.56/x
  3. Step 3: Cross multiply
    314,562.96x = 434,094.66 × 171,322.56
  4. Step 4: Simplify right side
    314,562.96x = 74,370,208,433.53
  5. Step 5: Solve for x
    x = 74,370,208,433.53/314,562.96
  6. Step 6: Final answer
    x = 236,423.92

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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.