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Finding the Fourth Proportional to 416,307.66, 624,489.30 and 146,403.42

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Solution

The fourth proportional to 416,307.66, 624,489.30 and 146,403.42 is: 219,614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,307.66 : 624,489.30 = 146,403.42 : x
  2. Step 2: Convert to fraction form
    416,307.66/624,489.30 = 146,403.42/x
  3. Step 3: Cross multiply
    416,307.66x = 624,489.30 × 146,403.42
  4. Step 4: Simplify right side
    416,307.66x = 91,427,369,273.41
  5. Step 5: Solve for x
    x = 91,427,369,273.41/416,307.66
  6. Step 6: Final answer
    x = 219,614.91

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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.