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Finding the Fourth Proportional to 305,582.30, 421,697.04 and 169,608.32

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Solution

The fourth proportional to 305,582.30, 421,697.04 and 169,608.32 is: 234,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,582.30 : 421,697.04 = 169,608.32 : x
  2. Step 2: Convert to fraction form
    305,582.30/421,697.04 = 169,608.32/x
  3. Step 3: Cross multiply
    305,582.30x = 421,697.04 × 169,608.32
  4. Step 4: Simplify right side
    305,582.30x = 71,523,326,503.37
  5. Step 5: Solve for x
    x = 71,523,326,503.37/305,582.30
  6. Step 6: Final answer
    x = 234,055.86

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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.