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Finding the Fourth Proportional to 314,799.48, 434,425.32 and 171,559.08

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Solution

The fourth proportional to 314,799.48, 434,425.32 and 171,559.08 is: 236,752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,799.48 : 434,425.32 = 171,559.08 : x
  2. Step 2: Convert to fraction form
    314,799.48/434,425.32 = 171,559.08/x
  3. Step 3: Cross multiply
    314,799.48x = 434,425.32 × 171,559.08
  4. Step 4: Simplify right side
    314,799.48x = 74,529,608,227.91
  5. Step 5: Solve for x
    x = 74,529,608,227.91/314,799.48
  6. Step 6: Final answer
    x = 236,752.64

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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.