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Finding the Fourth Proportional to 499,394.55, 689,164.13 and 269,951.83

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Solution

The fourth proportional to 499,394.55, 689,164.13 and 269,951.83 is: 372,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,394.55 : 689,164.13 = 269,951.83 : x
  2. Step 2: Convert to fraction form
    499,394.55/689,164.13 = 269,951.83/x
  3. Step 3: Cross multiply
    499,394.55x = 689,164.13 × 269,951.83
  4. Step 4: Simplify right side
    499,394.55x = 186,041,118,063.86
  5. Step 5: Solve for x
    x = 186,041,118,063.86/499,394.55
  6. Step 6: Final answer
    x = 372,533.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.