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Finding the Fourth Proportional to 415,950.54, 624,246.57 and 309,574.86

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Solution

The fourth proportional to 415,950.54, 624,246.57 and 309,574.86 is: 464,601.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,950.54 : 624,246.57 = 309,574.86 : x
  2. Step 2: Convert to fraction form
    415,950.54/624,246.57 = 309,574.86/x
  3. Step 3: Cross multiply
    415,950.54x = 624,246.57 × 309,574.86
  4. Step 4: Simplify right side
    415,950.54x = 193,251,044,513.23
  5. Step 5: Solve for x
    x = 193,251,044,513.23/415,950.54
  6. Step 6: Final answer
    x = 464,601.02

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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.