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Finding the Fourth Proportional to 403,582.40, 605,114.40 and 167,019.20

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Solution

The fourth proportional to 403,582.40, 605,114.40 and 167,019.20 is: 250,421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,582.40 : 605,114.40 = 167,019.20 : x
  2. Step 2: Convert to fraction form
    403,582.40/605,114.40 = 167,019.20/x
  3. Step 3: Cross multiply
    403,582.40x = 605,114.40 × 167,019.20
  4. Step 4: Simplify right side
    403,582.40x = 101,065,722,996.48
  5. Step 5: Solve for x
    x = 101,065,722,996.48/403,582.40
  6. Step 6: Final answer
    x = 250,421.53

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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.