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Finding the Fourth Proportional to 257,447.02, 385,362.68 and 177,015.64

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Solution

The fourth proportional to 257,447.02, 385,362.68 and 177,015.64 is: 264,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,447.02 : 385,362.68 = 177,015.64 : x
  2. Step 2: Convert to fraction form
    257,447.02/385,362.68 = 177,015.64/x
  3. Step 3: Cross multiply
    257,447.02x = 385,362.68 × 177,015.64
  4. Step 4: Simplify right side
    257,447.02x = 68,215,221,432.32
  5. Step 5: Solve for x
    x = 68,215,221,432.32/257,447.02
  6. Step 6: Final answer
    x = 264,968.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.