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Finding the Fourth Proportional to 314,015.64, 433,157.11 and 197,543.90

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Solution

The fourth proportional to 314,015.64, 433,157.11 and 197,543.90 is: 272,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,015.64 : 433,157.11 = 197,543.90 : x
  2. Step 2: Convert to fraction form
    314,015.64/433,157.11 = 197,543.90/x
  3. Step 3: Cross multiply
    314,015.64x = 433,157.11 × 197,543.90
  4. Step 4: Simplify right side
    314,015.64x = 85,567,542,974.65
  5. Step 5: Solve for x
    x = 85,567,542,974.65/314,015.64
  6. Step 6: Final answer
    x = 272,494.52

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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.