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Finding the Fourth Proportional to 713,606.30, 1,070,553.45 and 208,166.30

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Solution

The fourth proportional to 713,606.30, 1,070,553.45 and 208,166.30 is: 312,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,606.30 : 1,070,553.45 = 208,166.30 : x
  2. Step 2: Convert to fraction form
    713,606.30/1,070,553.45 = 208,166.30/x
  3. Step 3: Cross multiply
    713,606.30x = 1,070,553.45 × 208,166.30
  4. Step 4: Simplify right side
    713,606.30x = 222,853,150,638.74
  5. Step 5: Solve for x
    x = 222,853,150,638.74/713,606.30
  6. Step 6: Final answer
    x = 312,291.46

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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.