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Finding the Fourth Proportional to 403,570.40, 605,096.40 and 167,007.20

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Solution

The fourth proportional to 403,570.40, 605,096.40 and 167,007.20 is: 250,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,570.40 : 605,096.40 = 167,007.20 : x
  2. Step 2: Convert to fraction form
    403,570.40/605,096.40 = 167,007.20/x
  3. Step 3: Cross multiply
    403,570.40x = 605,096.40 × 167,007.20
  4. Step 4: Simplify right side
    403,570.40x = 101,055,455,494.08
  5. Step 5: Solve for x
    x = 101,055,455,494.08/403,570.40
  6. Step 6: Final answer
    x = 250,403.54

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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.