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Finding the Fourth Proportional to 409,648.40, 614,472.60 and 339,664.40

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Solution

The fourth proportional to 409,648.40, 614,472.60 and 339,664.40 is: 509,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,648.40 : 614,472.60 = 339,664.40 : x
  2. Step 2: Convert to fraction form
    409,648.40/614,472.60 = 339,664.40/x
  3. Step 3: Cross multiply
    409,648.40x = 614,472.60 × 339,664.40
  4. Step 4: Simplify right side
    409,648.40x = 208,714,466,995.44
  5. Step 5: Solve for x
    x = 208,714,466,995.44/409,648.40
  6. Step 6: Final answer
    x = 509,496.60

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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.