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Finding the Fourth Proportional to 413,216.30, 619,715.10 and 128,906.30

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Solution

The fourth proportional to 413,216.30, 619,715.10 and 128,906.30 is: 193,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,216.30 : 619,715.10 = 128,906.30 : x
  2. Step 2: Convert to fraction form
    413,216.30/619,715.10 = 128,906.30/x
  3. Step 3: Cross multiply
    413,216.30x = 619,715.10 × 128,906.30
  4. Step 4: Simplify right side
    413,216.30x = 79,885,180,595.13
  5. Step 5: Solve for x
    x = 79,885,180,595.13/413,216.30
  6. Step 6: Final answer
    x = 193,325.34

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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.