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Finding the Fourth Proportional to 295,258, 407,477.94 and 167,974.60

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Solution

The fourth proportional to 295,258, 407,477.94 and 167,974.60 is: 231,817.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,258 : 407,477.94 = 167,974.60 : x
  2. Step 2: Convert to fraction form
    295,258/407,477.94 = 167,974.60/x
  3. Step 3: Cross multiply
    295,258x = 407,477.94 × 167,974.60
  4. Step 4: Simplify right side
    295,258x = 68,445,943,980.32
  5. Step 5: Solve for x
    x = 68,445,943,980.32/295,258
  6. Step 6: Final answer
    x = 231,817.41

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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.