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Finding the Fourth Proportional to 469,014.87, 647,242.85 and 254,155.34

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Solution

The fourth proportional to 469,014.87, 647,242.85 and 254,155.34 is: 350,735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,014.87 : 647,242.85 = 254,155.34 : x
  2. Step 2: Convert to fraction form
    469,014.87/647,242.85 = 254,155.34/x
  3. Step 3: Cross multiply
    469,014.87x = 647,242.85 × 254,155.34
  4. Step 4: Simplify right side
    469,014.87x = 164,500,225,217.07
  5. Step 5: Solve for x
    x = 164,500,225,217.07/469,014.87
  6. Step 6: Final answer
    x = 350,735.63

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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.