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Finding the Fourth Proportional to 516,262.83, 712,438.43 and 289,903.47

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Solution

The fourth proportional to 516,262.83, 712,438.43 and 289,903.47 is: 400,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,262.83 : 712,438.43 = 289,903.47 : x
  2. Step 2: Convert to fraction form
    516,262.83/712,438.43 = 289,903.47/x
  3. Step 3: Cross multiply
    516,262.83x = 712,438.43 × 289,903.47
  4. Step 4: Simplify right side
    516,262.83x = 206,538,373,018.35
  5. Step 5: Solve for x
    x = 206,538,373,018.35/516,262.83
  6. Step 6: Final answer
    x = 400,064.39

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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.