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Finding the Fourth Proportional to 364,578.70, 546,993.87 and 151,461.08

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Solution

The fourth proportional to 364,578.70, 546,993.87 and 151,461.08 is: 227,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,578.70 : 546,993.87 = 151,461.08 : x
  2. Step 2: Convert to fraction form
    364,578.70/546,993.87 = 151,461.08/x
  3. Step 3: Cross multiply
    364,578.70x = 546,993.87 × 151,461.08
  4. Step 4: Simplify right side
    364,578.70x = 82,848,282,303.58
  5. Step 5: Solve for x
    x = 82,848,282,303.58/364,578.70
  6. Step 6: Final answer
    x = 227,243.89

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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.