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Finding the Fourth Proportional to 346,324, 477,922.46 and 193,364.54

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Solution

The fourth proportional to 346,324, 477,922.46 and 193,364.54 is: 266,840.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,324 : 477,922.46 = 193,364.54 : x
  2. Step 2: Convert to fraction form
    346,324/477,922.46 = 193,364.54/x
  3. Step 3: Cross multiply
    346,324x = 477,922.46 × 193,364.54
  4. Step 4: Simplify right side
    346,324x = 92,413,256,633.57
  5. Step 5: Solve for x
    x = 92,413,256,633.57/346,324
  6. Step 6: Final answer
    x = 266,840.46

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1.5x scale

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.