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Finding the Fourth Proportional to 409,415.40, 614,123.10 and 128,896.20

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Solution

The fourth proportional to 409,415.40, 614,123.10 and 128,896.20 is: 193,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,415.40 : 614,123.10 = 128,896.20 : x
  2. Step 2: Convert to fraction form
    409,415.40/614,123.10 = 128,896.20/x
  3. Step 3: Cross multiply
    409,415.40x = 614,123.10 × 128,896.20
  4. Step 4: Simplify right side
    409,415.40x = 79,158,133,922.22
  5. Step 5: Solve for x
    x = 79,158,133,922.22/409,415.40
  6. Step 6: Final answer
    x = 193,344.30

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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.