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Finding the Fourth Proportional to 401,947.46, 602,462.52 and 161,907.64

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Solution

The fourth proportional to 401,947.46, 602,462.52 and 161,907.64 is: 242,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,947.46 : 602,462.52 = 161,907.64 : x
  2. Step 2: Convert to fraction form
    401,947.46/602,462.52 = 161,907.64/x
  3. Step 3: Cross multiply
    401,947.46x = 602,462.52 × 161,907.64
  4. Step 4: Simplify right side
    401,947.46x = 97,543,284,801.65
  5. Step 5: Solve for x
    x = 97,543,284,801.65/401,947.46
  6. Step 6: Final answer
    x = 242,676.70

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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.