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Finding the Fourth Proportional to 403,567.60, 605,132.70 and 166,642.60

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Solution

The fourth proportional to 403,567.60, 605,132.70 and 166,642.60 is: 249,873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,567.60 : 605,132.70 = 166,642.60 : x
  2. Step 2: Convert to fraction form
    403,567.60/605,132.70 = 166,642.60/x
  3. Step 3: Cross multiply
    403,567.60x = 605,132.70 × 166,642.60
  4. Step 4: Simplify right side
    403,567.60x = 100,840,886,473.02
  5. Step 5: Solve for x
    x = 100,840,886,473.02/403,567.60
  6. Step 6: Final answer
    x = 249,873.59

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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.