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Finding the Fourth Proportional to 482,434, 665,323.26 and 301,162.70

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Solution

The fourth proportional to 482,434, 665,323.26 and 301,162.70 is: 415,332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,434 : 665,323.26 = 301,162.70 : x
  2. Step 2: Convert to fraction form
    482,434/665,323.26 = 301,162.70/x
  3. Step 3: Cross multiply
    482,434x = 665,323.26 × 301,162.70
  4. Step 4: Simplify right side
    482,434x = 200,370,549,354.40
  5. Step 5: Solve for x
    x = 200,370,549,354.40/482,434
  6. Step 6: Final answer
    x = 415,332.56

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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.