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Finding the Fourth Proportional to 517,046.76, 775,564.34 and 201,725.10

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Solution

The fourth proportional to 517,046.76, 775,564.34 and 201,725.10 is: 302,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,046.76 : 775,564.34 = 201,725.10 : x
  2. Step 2: Convert to fraction form
    517,046.76/775,564.34 = 201,725.10/x
  3. Step 3: Cross multiply
    517,046.76x = 775,564.34 × 201,725.10
  4. Step 4: Simplify right side
    517,046.76x = 156,450,793,034.31
  5. Step 5: Solve for x
    x = 156,450,793,034.31/517,046.76
  6. Step 6: Final answer
    x = 302,585.39

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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.