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Finding the Fourth Proportional to 364,048.60, 546,072.90 and 186,496.60

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Solution

The fourth proportional to 364,048.60, 546,072.90 and 186,496.60 is: 279,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,048.60 : 546,072.90 = 186,496.60 : x
  2. Step 2: Convert to fraction form
    364,048.60/546,072.90 = 186,496.60/x
  3. Step 3: Cross multiply
    364,048.60x = 546,072.90 × 186,496.60
  4. Step 4: Simplify right side
    364,048.60x = 101,840,739,202.14
  5. Step 5: Solve for x
    x = 101,840,739,202.14/364,048.60
  6. Step 6: Final answer
    x = 279,744.90

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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.