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Finding the Fourth Proportional to 659,017.12, 988,422 and 185,752.48

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Solution

The fourth proportional to 659,017.12, 988,422 and 185,752.48 is: 278,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,017.12 : 988,422 = 185,752.48 : x
  2. Step 2: Convert to fraction form
    659,017.12/988,422 = 185,752.48/x
  3. Step 3: Cross multiply
    659,017.12x = 988,422 × 185,752.48
  4. Step 4: Simplify right side
    659,017.12x = 183,601,837,786.56
  5. Step 5: Solve for x
    x = 183,601,837,786.56/659,017.12
  6. Step 6: Final answer
    x = 278,599.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.