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Finding the Fourth Proportional to 289,762.64, 434,939.28 and 199,811.30

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Solution

The fourth proportional to 289,762.64, 434,939.28 and 199,811.30 is: 299,920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,762.64 : 434,939.28 = 199,811.30 : x
  2. Step 2: Convert to fraction form
    289,762.64/434,939.28 = 199,811.30/x
  3. Step 3: Cross multiply
    289,762.64x = 434,939.28 × 199,811.30
  4. Step 4: Simplify right side
    289,762.64x = 86,905,782,957.86
  5. Step 5: Solve for x
    x = 86,905,782,957.86/289,762.64
  6. Step 6: Final answer
    x = 299,920.59

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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.