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Finding the Fourth Proportional to 434,090.40, 650,941.20 and 197,311.20

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Solution

The fourth proportional to 434,090.40, 650,941.20 and 197,311.20 is: 295,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,090.40 : 650,941.20 = 197,311.20 : x
  2. Step 2: Convert to fraction form
    434,090.40/650,941.20 = 197,311.20/x
  3. Step 3: Cross multiply
    434,090.40x = 650,941.20 × 197,311.20
  4. Step 4: Simplify right side
    434,090.40x = 128,437,989,301.44
  5. Step 5: Solve for x
    x = 128,437,989,301.44/434,090.40
  6. Step 6: Final answer
    x = 295,878.44

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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.