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Finding the Fourth Proportional to 305,342.64, 421,423.24 and 169,420.32

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Solution

The fourth proportional to 305,342.64, 421,423.24 and 169,420.32 is: 233,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,342.64 : 421,423.24 = 169,420.32 : x
  2. Step 2: Convert to fraction form
    305,342.64/421,423.24 = 169,420.32/x
  3. Step 3: Cross multiply
    305,342.64x = 421,423.24 × 169,420.32
  4. Step 4: Simplify right side
    305,342.64x = 71,397,660,176.24
  5. Step 5: Solve for x
    x = 71,397,660,176.24/305,342.64
  6. Step 6: Final answer
    x = 233,828.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.