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Finding the Fourth Proportional to 658,734.08, 909,056.16 and 356,928

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Solution

The fourth proportional to 658,734.08, 909,056.16 and 356,928 is: 492,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,734.08 : 909,056.16 = 356,928 : x
  2. Step 2: Convert to fraction form
    658,734.08/909,056.16 = 356,928/x
  3. Step 3: Cross multiply
    658,734.08x = 909,056.16 × 356,928
  4. Step 4: Simplify right side
    658,734.08x = 324,467,597,076.48
  5. Step 5: Solve for x
    x = 324,467,597,076.48/658,734.08
  6. Step 6: Final answer
    x = 492,562.34

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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.