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Finding the Fourth Proportional to 398,577.32, 597,763.91 and 118,028.96

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Solution

The fourth proportional to 398,577.32, 597,763.91 and 118,028.96 is: 177,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,577.32 : 597,763.91 = 118,028.96 : x
  2. Step 2: Convert to fraction form
    398,577.32/597,763.91 = 118,028.96/x
  3. Step 3: Cross multiply
    398,577.32x = 597,763.91 × 118,028.96
  4. Step 4: Simplify right side
    398,577.32x = 70,553,449,929.09
  5. Step 5: Solve for x
    x = 70,553,449,929.09/398,577.32
  6. Step 6: Final answer
    x = 177,013.21

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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.