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Finding the Fourth Proportional to 403,442.91, 604,803.51 and 166,634.55

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Solution

The fourth proportional to 403,442.91, 604,803.51 and 166,634.55 is: 249,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,442.91 : 604,803.51 = 166,634.55 : x
  2. Step 2: Convert to fraction form
    403,442.91/604,803.51 = 166,634.55/x
  3. Step 3: Cross multiply
    403,442.91x = 604,803.51 × 166,634.55
  4. Step 4: Simplify right side
    403,442.91x = 100,781,160,727.27
  5. Step 5: Solve for x
    x = 100,781,160,727.27/403,442.91
  6. Step 6: Final answer
    x = 249,802.78

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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.