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Finding the Fourth Proportional to 410,296.46, 566,645.64 and 312,453.74

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Solution

The fourth proportional to 410,296.46, 566,645.64 and 312,453.74 is: 431,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,296.46 : 566,645.64 = 312,453.74 : x
  2. Step 2: Convert to fraction form
    410,296.46/566,645.64 = 312,453.74/x
  3. Step 3: Cross multiply
    410,296.46x = 566,645.64 × 312,453.74
  4. Step 4: Simplify right side
    410,296.46x = 177,050,549,472.69
  5. Step 5: Solve for x
    x = 177,050,549,472.69/410,296.46
  6. Step 6: Final answer
    x = 431,518.59

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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.