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Finding the Fourth Proportional to 458,947, 633,169.38 and 338,374.36

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Solution

The fourth proportional to 458,947, 633,169.38 and 338,374.36 is: 466,825.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,947 : 633,169.38 = 338,374.36 : x
  2. Step 2: Convert to fraction form
    458,947/633,169.38 = 338,374.36/x
  3. Step 3: Cross multiply
    458,947x = 633,169.38 × 338,374.36
  4. Step 4: Simplify right side
    458,947x = 214,248,283,729.10
  5. Step 5: Solve for x
    x = 214,248,283,729.10/458,947
  6. Step 6: Final answer
    x = 466,825.76

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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.