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Finding the Fourth Proportional to 409,430.40, 614,145.60 and 339,446.40

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Solution

The fourth proportional to 409,430.40, 614,145.60 and 339,446.40 is: 509,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,430.40 : 614,145.60 = 339,446.40 : x
  2. Step 2: Convert to fraction form
    409,430.40/614,145.60 = 339,446.40/x
  3. Step 3: Cross multiply
    409,430.40x = 614,145.60 × 339,446.40
  4. Step 4: Simplify right side
    409,430.40x = 208,469,512,995.84
  5. Step 5: Solve for x
    x = 208,469,512,995.84/409,430.40
  6. Step 6: Final answer
    x = 509,169.60

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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.