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Finding the Fourth Proportional to 330,062.61, 494,650.44 and 180,078.15

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Solution

The fourth proportional to 330,062.61, 494,650.44 and 180,078.15 is: 269,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,062.61 : 494,650.44 = 180,078.15 : x
  2. Step 2: Convert to fraction form
    330,062.61/494,650.44 = 180,078.15/x
  3. Step 3: Cross multiply
    330,062.61x = 494,650.44 × 180,078.15
  4. Step 4: Simplify right side
    330,062.61x = 89,075,736,131.89
  5. Step 5: Solve for x
    x = 89,075,736,131.89/330,062.61
  6. Step 6: Final answer
    x = 269,875.27

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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.