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Finding the Fourth Proportional to 362,099.08, 499,756.80 and 211,196.08

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Solution

The fourth proportional to 362,099.08, 499,756.80 and 211,196.08 is: 291,485.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,099.08 : 499,756.80 = 211,196.08 : x
  2. Step 2: Convert to fraction form
    362,099.08/499,756.80 = 211,196.08/x
  3. Step 3: Cross multiply
    362,099.08x = 499,756.80 × 211,196.08
  4. Step 4: Simplify right side
    362,099.08x = 105,546,677,113.34
  5. Step 5: Solve for x
    x = 105,546,677,113.34/362,099.08
  6. Step 6: Final answer
    x = 291,485.63

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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.