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Finding the Fourth Proportional to 570,597.24, 787,414.56 and 315,942.96

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Solution

The fourth proportional to 570,597.24, 787,414.56 and 315,942.96 is: 435,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,597.24 : 787,414.56 = 315,942.96 : x
  2. Step 2: Convert to fraction form
    570,597.24/787,414.56 = 315,942.96/x
  3. Step 3: Cross multiply
    570,597.24x = 787,414.56 × 315,942.96
  4. Step 4: Simplify right side
    570,597.24x = 248,778,086,833.50
  5. Step 5: Solve for x
    x = 248,778,086,833.50/570,597.24
  6. Step 6: Final answer
    x = 435,995.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.