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Finding the Fourth Proportional to 403,543.40, 605,055.90 and 166,980.20

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Solution

The fourth proportional to 403,543.40, 605,055.90 and 166,980.20 is: 250,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,543.40 : 605,055.90 = 166,980.20 : x
  2. Step 2: Convert to fraction form
    403,543.40/605,055.90 = 166,980.20/x
  3. Step 3: Cross multiply
    403,543.40x = 605,055.90 × 166,980.20
  4. Step 4: Simplify right side
    403,543.40x = 101,032,355,193.18
  5. Step 5: Solve for x
    x = 101,032,355,193.18/403,543.40
  6. Step 6: Final answer
    x = 250,363.05

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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.