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Finding the Fourth Proportional to 305,453.70, 421,549.16 and 169,513.32

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Solution

The fourth proportional to 305,453.70, 421,549.16 and 169,513.32 is: 233,941.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,453.70 : 421,549.16 = 169,513.32 : x
  2. Step 2: Convert to fraction form
    305,453.70/421,549.16 = 169,513.32/x
  3. Step 3: Cross multiply
    305,453.70x = 421,549.16 × 169,513.32
  4. Step 4: Simplify right side
    305,453.70x = 71,458,196,807.24
  5. Step 5: Solve for x
    x = 71,458,196,807.24/305,453.70
  6. Step 6: Final answer
    x = 233,941.17

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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.