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Finding the Fourth Proportional to 410,361.40, 614,141.70 and 343,876.60

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Solution

The fourth proportional to 410,361.40, 614,141.70 and 343,876.60 is: 514,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,361.40 : 614,141.70 = 343,876.60 : x
  2. Step 2: Convert to fraction form
    410,361.40/614,141.70 = 343,876.60/x
  3. Step 3: Cross multiply
    410,361.40x = 614,141.70 × 343,876.60
  4. Step 4: Simplify right side
    410,361.40x = 211,188,959,714.22
  5. Step 5: Solve for x
    x = 211,188,959,714.22/410,361.40
  6. Step 6: Final answer
    x = 514,641.39

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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.