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Finding the Fourth Proportional to 469,984.88, 704,983.12 and 137,567.60

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Solution

The fourth proportional to 469,984.88, 704,983.12 and 137,567.60 is: 206,353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,984.88 : 704,983.12 = 137,567.60 : x
  2. Step 2: Convert to fraction form
    469,984.88/704,983.12 = 137,567.60/x
  3. Step 3: Cross multiply
    469,984.88x = 704,983.12 × 137,567.60
  4. Step 4: Simplify right side
    469,984.88x = 96,982,835,858.91
  5. Step 5: Solve for x
    x = 96,982,835,858.91/469,984.88
  6. Step 6: Final answer
    x = 206,353.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.