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Finding the Fourth Proportional to 293,216.10, 439,824.15 and 257,057.70

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Solution

The fourth proportional to 293,216.10, 439,824.15 and 257,057.70 is: 385,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,216.10 : 439,824.15 = 257,057.70 : x
  2. Step 2: Convert to fraction form
    293,216.10/439,824.15 = 257,057.70/x
  3. Step 3: Cross multiply
    293,216.10x = 439,824.15 × 257,057.70
  4. Step 4: Simplify right side
    293,216.10x = 113,060,184,403.46
  5. Step 5: Solve for x
    x = 113,060,184,403.46/293,216.10
  6. Step 6: Final answer
    x = 385,586.55

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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.