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Finding the Fourth Proportional to 314,577.66, 434,117.84 and 171,337.26

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Solution

The fourth proportional to 314,577.66, 434,117.84 and 171,337.26 is: 236,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,577.66 : 434,117.84 = 171,337.26 : x
  2. Step 2: Convert to fraction form
    314,577.66/434,117.84 = 171,337.26/x
  3. Step 3: Cross multiply
    314,577.66x = 434,117.84 × 171,337.26
  4. Step 4: Simplify right side
    314,577.66x = 74,380,561,222.72
  5. Step 5: Solve for x
    x = 74,380,561,222.72/314,577.66
  6. Step 6: Final answer
    x = 236,445.78

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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.