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Finding the Fourth Proportional to 517,261.33, 713,654.31 and 313,246.90

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Solution

The fourth proportional to 517,261.33, 713,654.31 and 313,246.90 is: 432,180.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,261.33 : 713,654.31 = 313,246.90 : x
  2. Step 2: Convert to fraction form
    517,261.33/713,654.31 = 313,246.90/x
  3. Step 3: Cross multiply
    517,261.33x = 713,654.31 × 313,246.90
  4. Step 4: Simplify right side
    517,261.33x = 223,550,000,279.14
  5. Step 5: Solve for x
    x = 223,550,000,279.14/517,261.33
  6. Step 6: Final answer
    x = 432,180.00

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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.