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Finding the Fourth Proportional to 484,100.42, 725,486.31 and 306,289.11

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Solution

The fourth proportional to 484,100.42, 725,486.31 and 306,289.11 is: 459,013.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,100.42 : 725,486.31 = 306,289.11 : x
  2. Step 2: Convert to fraction form
    484,100.42/725,486.31 = 306,289.11/x
  3. Step 3: Cross multiply
    484,100.42x = 725,486.31 × 306,289.11
  4. Step 4: Simplify right side
    484,100.42x = 222,208,556,207.08
  5. Step 5: Solve for x
    x = 222,208,556,207.08/484,100.42
  6. Step 6: Final answer
    x = 459,013.36

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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.