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Finding the Fourth Proportional to 397,451.34, 596,336.28 and 144,749.42

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Solution

The fourth proportional to 397,451.34, 596,336.28 and 144,749.42 is: 217,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,451.34 : 596,336.28 = 144,749.42 : x
  2. Step 2: Convert to fraction form
    397,451.34/596,336.28 = 144,749.42/x
  3. Step 3: Cross multiply
    397,451.34x = 596,336.28 × 144,749.42
  4. Step 4: Simplify right side
    397,451.34x = 86,319,330,654.96
  5. Step 5: Solve for x
    x = 86,319,330,654.96/397,451.34
  6. Step 6: Final answer
    x = 217,182.14

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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.