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Finding the Fourth Proportional to 432,907.40, 648,048.90 and 327,056.60

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Solution

The fourth proportional to 432,907.40, 648,048.90 and 327,056.60 is: 489,593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,907.40 : 648,048.90 = 327,056.60 : x
  2. Step 2: Convert to fraction form
    432,907.40/648,048.90 = 327,056.60/x
  3. Step 3: Cross multiply
    432,907.40x = 648,048.90 × 327,056.60
  4. Step 4: Simplify right side
    432,907.40x = 211,948,669,867.74
  5. Step 5: Solve for x
    x = 211,948,669,867.74/432,907.40
  6. Step 6: Final answer
    x = 489,593.55

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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.