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Finding the Fourth Proportional to 570,597.38, 787,414.75 and 315,943.10

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Solution

The fourth proportional to 570,597.38, 787,414.75 and 315,943.10 is: 435,996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,597.38 : 787,414.75 = 315,943.10 : x
  2. Step 2: Convert to fraction form
    570,597.38/787,414.75 = 315,943.10/x
  3. Step 3: Cross multiply
    570,597.38x = 787,414.75 × 315,943.10
  4. Step 4: Simplify right side
    570,597.38x = 248,778,257,100.73
  5. Step 5: Solve for x
    x = 248,778,257,100.73/570,597.38
  6. Step 6: Final answer
    x = 435,996.14

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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.