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Finding the Fourth Proportional to 447,409.84, 617,452.16 and 256,435.57

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Solution

The fourth proportional to 447,409.84, 617,452.16 and 256,435.57 is: 353,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,409.84 : 617,452.16 = 256,435.57 : x
  2. Step 2: Convert to fraction form
    447,409.84/617,452.16 = 256,435.57/x
  3. Step 3: Cross multiply
    447,409.84x = 617,452.16 × 256,435.57
  4. Step 4: Simplify right side
    447,409.84x = 158,336,696,597.33
  5. Step 5: Solve for x
    x = 158,336,696,597.33/447,409.84
  6. Step 6: Final answer
    x = 353,896.32

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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.