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Finding the Fourth Proportional to 314,243.82, 433,656.18 and 171,003.60

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Solution

The fourth proportional to 314,243.82, 433,656.18 and 171,003.60 is: 235,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,243.82 : 433,656.18 = 171,003.60 : x
  2. Step 2: Convert to fraction form
    314,243.82/433,656.18 = 171,003.60/x
  3. Step 3: Cross multiply
    314,243.82x = 433,656.18 × 171,003.60
  4. Step 4: Simplify right side
    314,243.82x = 74,156,767,942.25
  5. Step 5: Solve for x
    x = 74,156,767,942.25/314,243.82
  6. Step 6: Final answer
    x = 235,984.81

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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.