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Finding the Fourth Proportional to 403,482.36, 605,495.70 and 166,824.12

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Solution

The fourth proportional to 403,482.36, 605,495.70 and 166,824.12 is: 250,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,482.36 : 605,495.70 = 166,824.12 : x
  2. Step 2: Convert to fraction form
    403,482.36/605,495.70 = 166,824.12/x
  3. Step 3: Cross multiply
    403,482.36x = 605,495.70 × 166,824.12
  4. Step 4: Simplify right side
    403,482.36x = 101,011,287,316.28
  5. Step 5: Solve for x
    x = 101,011,287,316.28/403,482.36
  6. Step 6: Final answer
    x = 250,348.71

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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.