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Finding the Fourth Proportional to 314,454.42, 433,941.48 and 171,211.86

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Solution

The fourth proportional to 314,454.42, 433,941.48 and 171,211.86 is: 236,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,454.42 : 433,941.48 = 171,211.86 : x
  2. Step 2: Convert to fraction form
    314,454.42/433,941.48 = 171,211.86/x
  3. Step 3: Cross multiply
    314,454.42x = 433,941.48 × 171,211.86
  4. Step 4: Simplify right side
    314,454.42x = 74,295,927,921.95
  5. Step 5: Solve for x
    x = 74,295,927,921.95/314,454.42
  6. Step 6: Final answer
    x = 236,269.31

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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.