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Finding the Fourth Proportional to 484,109.46, 725,405.22 and 306,240.75

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Solution

The fourth proportional to 484,109.46, 725,405.22 and 306,240.75 is: 458,881.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,109.46 : 725,405.22 = 306,240.75 : x
  2. Step 2: Convert to fraction form
    484,109.46/725,405.22 = 306,240.75/x
  3. Step 3: Cross multiply
    484,109.46x = 725,405.22 × 306,240.75
  4. Step 4: Simplify right side
    484,109.46x = 222,148,638,626.72
  5. Step 5: Solve for x
    x = 222,148,638,626.72/484,109.46
  6. Step 6: Final answer
    x = 458,881.01

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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.