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Finding the Fourth Proportional to 306,005.20, 459,007.80 and 257,016.40

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Solution

The fourth proportional to 306,005.20, 459,007.80 and 257,016.40 is: 385,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,005.20 : 459,007.80 = 257,016.40 : x
  2. Step 2: Convert to fraction form
    306,005.20/459,007.80 = 257,016.40/x
  3. Step 3: Cross multiply
    306,005.20x = 459,007.80 × 257,016.40
  4. Step 4: Simplify right side
    306,005.20x = 117,972,532,327.92
  5. Step 5: Solve for x
    x = 117,972,532,327.92/306,005.20
  6. Step 6: Final answer
    x = 385,524.60

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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.