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Finding the Fourth Proportional to 305,411.13, 421,453.08 and 169,443.63

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Solution

The fourth proportional to 305,411.13, 421,453.08 and 169,443.63 is: 233,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,411.13 : 421,453.08 = 169,443.63 : x
  2. Step 2: Convert to fraction form
    305,411.13/421,453.08 = 169,443.63/x
  3. Step 3: Cross multiply
    305,411.13x = 421,453.08 × 169,443.63
  4. Step 4: Simplify right side
    305,411.13x = 71,412,539,749.88
  5. Step 5: Solve for x
    x = 71,412,539,749.88/305,411.13
  6. Step 6: Final answer
    x = 233,824.29

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1.5x scale

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.