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Finding the Fourth Proportional to 385,482.84, 577,912.60 and 161,015.23

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Solution

The fourth proportional to 385,482.84, 577,912.60 and 161,015.23 is: 241,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,482.84 : 577,912.60 = 161,015.23 : x
  2. Step 2: Convert to fraction form
    385,482.84/577,912.60 = 161,015.23/x
  3. Step 3: Cross multiply
    385,482.84x = 577,912.60 × 161,015.23
  4. Step 4: Simplify right side
    385,482.84x = 93,052,730,208.90
  5. Step 5: Solve for x
    x = 93,052,730,208.90/385,482.84
  6. Step 6: Final answer
    x = 241,392.67

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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.