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Finding the Fourth Proportional to 413,771.83, 571,378.61 and 261,080.96

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Solution

The fourth proportional to 413,771.83, 571,378.61 and 261,080.96 is: 360,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,771.83 : 571,378.61 = 261,080.96 : x
  2. Step 2: Convert to fraction form
    413,771.83/571,378.61 = 261,080.96/x
  3. Step 3: Cross multiply
    413,771.83x = 571,378.61 × 261,080.96
  4. Step 4: Simplify right side
    413,771.83x = 149,176,072,349.50
  5. Step 5: Solve for x
    x = 149,176,072,349.50/413,771.83
  6. Step 6: Final answer
    x = 360,527.38

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1.5x scale

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.