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Finding the Fourth Proportional to 341,946, 471,885.66 and 191,043

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Solution

The fourth proportional to 341,946, 471,885.66 and 191,043 is: 263,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,946 : 471,885.66 = 191,043 : x
  2. Step 2: Convert to fraction form
    341,946/471,885.66 = 191,043/x
  3. Step 3: Cross multiply
    341,946x = 471,885.66 × 191,043
  4. Step 4: Simplify right side
    341,946x = 90,150,452,143.38
  5. Step 5: Solve for x
    x = 90,150,452,143.38/341,946
  6. Step 6: Final answer
    x = 263,639.44

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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.