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Finding the Fourth Proportional to 332,407.46, 458,758.42 and 205,079.78

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Solution

The fourth proportional to 332,407.46, 458,758.42 and 205,079.78 is: 283,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,407.46 : 458,758.42 = 205,079.78 : x
  2. Step 2: Convert to fraction form
    332,407.46/458,758.42 = 205,079.78/x
  3. Step 3: Cross multiply
    332,407.46x = 458,758.42 × 205,079.78
  4. Step 4: Simplify right side
    332,407.46x = 94,082,075,846.75
  5. Step 5: Solve for x
    x = 94,082,075,846.75/332,407.46
  6. Step 6: Final answer
    x = 283,032.38

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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.