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Finding the Fourth Proportional to 294,121.20, 440,836.20 and 153,807.60

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Solution

The fourth proportional to 294,121.20, 440,836.20 and 153,807.60 is: 230,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,121.20 : 440,836.20 = 153,807.60 : x
  2. Step 2: Convert to fraction form
    294,121.20/440,836.20 = 153,807.60/x
  3. Step 3: Cross multiply
    294,121.20x = 440,836.20 × 153,807.60
  4. Step 4: Simplify right side
    294,121.20x = 67,803,957,915.12
  5. Step 5: Solve for x
    x = 67,803,957,915.12/294,121.20
  6. Step 6: Final answer
    x = 230,530.67

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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.