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Finding the Fourth Proportional to 295,257, 407,476.56 and 167,973.60

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Solution

The fourth proportional to 295,257, 407,476.56 and 167,973.60 is: 231,816.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,257 : 407,476.56 = 167,973.60 : x
  2. Step 2: Convert to fraction form
    295,257/407,476.56 = 167,973.60/x
  3. Step 3: Cross multiply
    295,257x = 407,476.56 × 167,973.60
  4. Step 4: Simplify right side
    295,257x = 68,445,304,698.82
  5. Step 5: Solve for x
    x = 68,445,304,698.82/295,257
  6. Step 6: Final answer
    x = 231,816.03

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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.