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Finding the Fourth Proportional to 385,032.55, 577,647.24 and 148,311.67

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Solution

The fourth proportional to 385,032.55, 577,647.24 and 148,311.67 is: 222,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,032.55 : 577,647.24 = 148,311.67 : x
  2. Step 2: Convert to fraction form
    385,032.55/577,647.24 = 148,311.67/x
  3. Step 3: Cross multiply
    385,032.55x = 577,647.24 × 148,311.67
  4. Step 4: Simplify right side
    385,032.55x = 85,671,826,835.29
  5. Step 5: Solve for x
    x = 85,671,826,835.29/385,032.55
  6. Step 6: Final answer
    x = 222,505.41

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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.