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Finding the Fourth Proportional to 570,282.68, 786,936.78 and 340,794.41

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Solution

The fourth proportional to 570,282.68, 786,936.78 and 340,794.41 is: 470,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,282.68 : 786,936.78 = 340,794.41 : x
  2. Step 2: Convert to fraction form
    570,282.68/786,936.78 = 340,794.41/x
  3. Step 3: Cross multiply
    570,282.68x = 786,936.78 × 340,794.41
  4. Step 4: Simplify right side
    570,282.68x = 268,183,655,647.40
  5. Step 5: Solve for x
    x = 268,183,655,647.40/570,282.68
  6. Step 6: Final answer
    x = 470,264.42

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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.