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Finding the Fourth Proportional to 322,157.98, 444,578.01 and 178,931.35

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Solution

The fourth proportional to 322,157.98, 444,578.01 and 178,931.35 is: 246,925.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,157.98 : 444,578.01 = 178,931.35 : x
  2. Step 2: Convert to fraction form
    322,157.98/444,578.01 = 178,931.35/x
  3. Step 3: Cross multiply
    322,157.98x = 444,578.01 × 178,931.35
  4. Step 4: Simplify right side
    322,157.98x = 79,548,943,509.61
  5. Step 5: Solve for x
    x = 79,548,943,509.61/322,157.98
  6. Step 6: Final answer
    x = 246,925.26

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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.