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Finding the Fourth Proportional to 403,241.80, 604,862.70 and 166,505.80

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Solution

The fourth proportional to 403,241.80, 604,862.70 and 166,505.80 is: 249,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,241.80 : 604,862.70 = 166,505.80 : x
  2. Step 2: Convert to fraction form
    403,241.80/604,862.70 = 166,505.80/x
  3. Step 3: Cross multiply
    403,241.80x = 604,862.70 × 166,505.80
  4. Step 4: Simplify right side
    403,241.80x = 100,713,147,753.66
  5. Step 5: Solve for x
    x = 100,713,147,753.66/403,241.80
  6. Step 6: Final answer
    x = 249,758.70

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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.