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Finding the Fourth Proportional to 726,285, 1,089,602.52 and 227,649

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Solution

The fourth proportional to 726,285, 1,089,602.52 and 227,649 is: 341,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,285 : 1,089,602.52 = 227,649 : x
  2. Step 2: Convert to fraction form
    726,285/1,089,602.52 = 227,649/x
  3. Step 3: Cross multiply
    726,285x = 1,089,602.52 × 227,649
  4. Step 4: Simplify right side
    726,285x = 248,046,924,075.48
  5. Step 5: Solve for x
    x = 248,046,924,075.48/726,285
  6. Step 6: Final answer
    x = 341,528.36

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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.