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Finding the Fourth Proportional to 409,555.40, 613,895.70 and 156,738.20

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Solution

The fourth proportional to 409,555.40, 613,895.70 and 156,738.20 is: 234,939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,555.40 : 613,895.70 = 156,738.20 : x
  2. Step 2: Convert to fraction form
    409,555.40/613,895.70 = 156,738.20/x
  3. Step 3: Cross multiply
    409,555.40x = 613,895.70 × 156,738.20
  4. Step 4: Simplify right side
    409,555.40x = 96,220,907,005.74
  5. Step 5: Solve for x
    x = 96,220,907,005.74/409,555.40
  6. Step 6: Final answer
    x = 234,939.91

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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.