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Finding the Fourth Proportional to 329,744.64, 494,656.20 and 105,026.16

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Solution

The fourth proportional to 329,744.64, 494,656.20 and 105,026.16 is: 157,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,744.64 : 494,656.20 = 105,026.16 : x
  2. Step 2: Convert to fraction form
    329,744.64/494,656.20 = 105,026.16/x
  3. Step 3: Cross multiply
    329,744.64x = 494,656.20 × 105,026.16
  4. Step 4: Simplify right side
    329,744.64x = 51,951,841,206.19
  5. Step 5: Solve for x
    x = 51,951,841,206.19/329,744.64
  6. Step 6: Final answer
    x = 157,551.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.