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Finding the Fourth Proportional to 516,410.78, 712,647.23 and 286,989.47

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Solution

The fourth proportional to 516,410.78, 712,647.23 and 286,989.47 is: 396,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,410.78 : 712,647.23 = 286,989.47 : x
  2. Step 2: Convert to fraction form
    516,410.78/712,647.23 = 286,989.47/x
  3. Step 3: Cross multiply
    516,410.78x = 712,647.23 × 286,989.47
  4. Step 4: Simplify right side
    516,410.78x = 204,522,250,834.67
  5. Step 5: Solve for x
    x = 204,522,250,834.67/516,410.78
  6. Step 6: Final answer
    x = 396,045.67

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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.