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Finding the Fourth Proportional to 458,946, 633,168 and 338,373.36

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Solution

The fourth proportional to 458,946, 633,168 and 338,373.36 is: 466,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,946 : 633,168 = 338,373.36 : x
  2. Step 2: Convert to fraction form
    458,946/633,168 = 338,373.36/x
  3. Step 3: Cross multiply
    458,946x = 633,168 × 338,373.36
  4. Step 4: Simplify right side
    458,946x = 214,247,183,604.48
  5. Step 5: Solve for x
    x = 214,247,183,604.48/458,946
  6. Step 6: Final answer
    x = 466,824.38

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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.