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Finding the Fourth Proportional to 257,119.84, 385,015.20 and 177,403.60

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Solution

The fourth proportional to 257,119.84, 385,015.20 and 177,403.60 is: 265,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,119.84 : 385,015.20 = 177,403.60 : x
  2. Step 2: Convert to fraction form
    257,119.84/385,015.20 = 177,403.60/x
  3. Step 3: Cross multiply
    257,119.84x = 385,015.20 × 177,403.60
  4. Step 4: Simplify right side
    257,119.84x = 68,303,082,534.72
  5. Step 5: Solve for x
    x = 68,303,082,534.72/257,119.84
  6. Step 6: Final answer
    x = 265,646.88

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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.