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Finding the Fourth Proportional to 289,322.70, 433,984.05 and 184,217.10

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Solution

The fourth proportional to 289,322.70, 433,984.05 and 184,217.10 is: 276,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,322.70 : 433,984.05 = 184,217.10 : x
  2. Step 2: Convert to fraction form
    289,322.70/433,984.05 = 184,217.10/x
  3. Step 3: Cross multiply
    289,322.70x = 433,984.05 × 184,217.10
  4. Step 4: Simplify right side
    289,322.70x = 79,947,283,137.26
  5. Step 5: Solve for x
    x = 79,947,283,137.26/289,322.70
  6. Step 6: Final answer
    x = 276,325.65

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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.