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Finding the Fourth Proportional to 314,805.09, 434,418.35 and 171,562.04

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Solution

The fourth proportional to 314,805.09, 434,418.35 and 171,562.04 is: 236,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,805.09 : 434,418.35 = 171,562.04 : x
  2. Step 2: Convert to fraction form
    314,805.09/434,418.35 = 171,562.04/x
  3. Step 3: Cross multiply
    314,805.09x = 434,418.35 × 171,562.04
  4. Step 4: Simplify right side
    314,805.09x = 74,529,695,309.53
  5. Step 5: Solve for x
    x = 74,529,695,309.53/314,805.09
  6. Step 6: Final answer
    x = 236,748.70

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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.