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Finding the Fourth Proportional to 413,194.12, 619,709.58 and 113,597.44

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Solution

The fourth proportional to 413,194.12, 619,709.58 and 113,597.44 is: 170,373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,194.12 : 619,709.58 = 113,597.44 : x
  2. Step 2: Convert to fraction form
    413,194.12/619,709.58 = 113,597.44/x
  3. Step 3: Cross multiply
    413,194.12x = 619,709.58 × 113,597.44
  4. Step 4: Simplify right side
    413,194.12x = 70,397,421,831.48
  5. Step 5: Solve for x
    x = 70,397,421,831.48/413,194.12
  6. Step 6: Final answer
    x = 170,373.73

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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.