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Finding the Fourth Proportional to 341,005.85, 470,568.72 and 211,941.01

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Solution

The fourth proportional to 341,005.85, 470,568.72 and 211,941.01 is: 292,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,005.85 : 470,568.72 = 211,941.01 : x
  2. Step 2: Convert to fraction form
    341,005.85/470,568.72 = 211,941.01/x
  3. Step 3: Cross multiply
    341,005.85x = 470,568.72 × 211,941.01
  4. Step 4: Simplify right side
    341,005.85x = 99,732,809,791.21
  5. Step 5: Solve for x
    x = 99,732,809,791.21/341,005.85
  6. Step 6: Final answer
    x = 292,466.57

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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.