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Finding the Fourth Proportional to 403,433.60, 604,931.70 and 166,508.60

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Solution

The fourth proportional to 403,433.60, 604,931.70 and 166,508.60 is: 249,672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,433.60 : 604,931.70 = 166,508.60 : x
  2. Step 2: Convert to fraction form
    403,433.60/604,931.70 = 166,508.60/x
  3. Step 3: Cross multiply
    403,433.60x = 604,931.70 × 166,508.60
  4. Step 4: Simplify right side
    403,433.60x = 100,726,330,462.62
  5. Step 5: Solve for x
    x = 100,726,330,462.62/403,433.60
  6. Step 6: Final answer
    x = 249,672.64

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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.