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Finding the Fourth Proportional to 508,510.97, 701,698.75 and 301,743.73

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Solution

The fourth proportional to 508,510.97, 701,698.75 and 301,743.73 is: 416,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,510.97 : 701,698.75 = 301,743.73 : x
  2. Step 2: Convert to fraction form
    508,510.97/701,698.75 = 301,743.73/x
  3. Step 3: Cross multiply
    508,510.97x = 701,698.75 × 301,743.73
  4. Step 4: Simplify right side
    508,510.97x = 211,733,198,161.34
  5. Step 5: Solve for x
    x = 211,733,198,161.34/508,510.97
  6. Step 6: Final answer
    x = 416,378.82

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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.