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Finding the Fourth Proportional to 713,602.80, 1,070,548.20 and 208,162.80

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Solution

The fourth proportional to 713,602.80, 1,070,548.20 and 208,162.80 is: 312,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,602.80 : 1,070,548.20 = 208,162.80 : x
  2. Step 2: Convert to fraction form
    713,602.80/1,070,548.20 = 208,162.80/x
  3. Step 3: Cross multiply
    713,602.80x = 1,070,548.20 × 208,162.80
  4. Step 4: Simplify right side
    713,602.80x = 222,848,310,846.96
  5. Step 5: Solve for x
    x = 222,848,310,846.96/713,602.80
  6. Step 6: Final answer
    x = 312,286.21

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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.