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Finding the Fourth Proportional to 570,470.25, 787,219.01 and 312,297.70

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Solution

The fourth proportional to 570,470.25, 787,219.01 and 312,297.70 is: 430,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,470.25 : 787,219.01 = 312,297.70 : x
  2. Step 2: Convert to fraction form
    570,470.25/787,219.01 = 312,297.70/x
  3. Step 3: Cross multiply
    570,470.25x = 787,219.01 × 312,297.70
  4. Step 4: Simplify right side
    570,470.25x = 245,846,686,812.93
  5. Step 5: Solve for x
    x = 245,846,686,812.93/570,470.25
  6. Step 6: Final answer
    x = 430,954.44

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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.