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Finding the Fourth Proportional to 385,201.55, 577,900.74 and 148,480.67

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Solution

The fourth proportional to 385,201.55, 577,900.74 and 148,480.67 is: 222,758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,201.55 : 577,900.74 = 148,480.67 : x
  2. Step 2: Convert to fraction form
    385,201.55/577,900.74 = 148,480.67/x
  3. Step 3: Cross multiply
    385,201.55x = 577,900.74 × 148,480.67
  4. Step 4: Simplify right side
    385,201.55x = 85,807,089,068.70
  5. Step 5: Solve for x
    x = 85,807,089,068.70/385,201.55
  6. Step 6: Final answer
    x = 222,758.94

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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.