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Finding the Fourth Proportional to 537,106.56, 741,209.67 and 295,404.54

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Solution

The fourth proportional to 537,106.56, 741,209.67 and 295,404.54 is: 407,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,106.56 : 741,209.67 = 295,404.54 : x
  2. Step 2: Convert to fraction form
    537,106.56/741,209.67 = 295,404.54/x
  3. Step 3: Cross multiply
    537,106.56x = 741,209.67 × 295,404.54
  4. Step 4: Simplify right side
    537,106.56x = 218,956,701,609.90
  5. Step 5: Solve for x
    x = 218,956,701,609.90/537,106.56
  6. Step 6: Final answer
    x = 407,659.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.