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Finding the Fourth Proportional to 305,270.33, 421,298.93 and 169,348.07

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Solution

The fourth proportional to 305,270.33, 421,298.93 and 169,348.07 is: 233,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,270.33 : 421,298.93 = 169,348.07 : x
  2. Step 2: Convert to fraction form
    305,270.33/421,298.93 = 169,348.07/x
  3. Step 3: Cross multiply
    305,270.33x = 421,298.93 × 169,348.07
  4. Step 4: Simplify right side
    305,270.33x = 71,346,162,165.18
  5. Step 5: Solve for x
    x = 71,346,162,165.18/305,270.33
  6. Step 6: Final answer
    x = 233,714.70

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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.