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Finding the Fourth Proportional to 469,743.49, 704,731.88 and 137,319.49

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Solution

The fourth proportional to 469,743.49, 704,731.88 and 137,319.49 is: 206,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,743.49 : 704,731.88 = 137,319.49 : x
  2. Step 2: Convert to fraction form
    469,743.49/704,731.88 = 137,319.49/x
  3. Step 3: Cross multiply
    469,743.49x = 704,731.88 × 137,319.49
  4. Step 4: Simplify right side
    469,743.49x = 96,773,422,348.34
  5. Step 5: Solve for x
    x = 96,773,422,348.34/469,743.49
  6. Step 6: Final answer
    x = 206,013.33

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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.