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Finding the Fourth Proportional to 616,225.76, 923,942.84 and 256,645.88

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Solution

The fourth proportional to 616,225.76, 923,942.84 and 256,645.88 is: 384,803.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,225.76 : 923,942.84 = 256,645.88 : x
  2. Step 2: Convert to fraction form
    616,225.76/923,942.84 = 256,645.88/x
  3. Step 3: Cross multiply
    616,225.76x = 923,942.84 × 256,645.88
  4. Step 4: Simplify right side
    616,225.76x = 237,126,123,241.50
  5. Step 5: Solve for x
    x = 237,126,123,241.50/616,225.76
  6. Step 6: Final answer
    x = 384,803.98

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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.