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Finding the Fourth Proportional to 601,912.54, 830,634.01 and 329,975.50

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Solution

The fourth proportional to 601,912.54, 830,634.01 and 329,975.50 is: 455,363.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,912.54 : 830,634.01 = 329,975.50 : x
  2. Step 2: Convert to fraction form
    601,912.54/830,634.01 = 329,975.50/x
  3. Step 3: Cross multiply
    601,912.54x = 830,634.01 × 329,975.50
  4. Step 4: Simplify right side
    601,912.54x = 274,088,869,026.05
  5. Step 5: Solve for x
    x = 274,088,869,026.05/601,912.54
  6. Step 6: Final answer
    x = 455,363.28

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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.