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Finding the Fourth Proportional to 364,709.44, 546,994.56 and 154,495.20

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Solution

The fourth proportional to 364,709.44, 546,994.56 and 154,495.20 is: 231,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,709.44 : 546,994.56 = 154,495.20 : x
  2. Step 2: Convert to fraction form
    364,709.44/546,994.56 = 154,495.20/x
  3. Step 3: Cross multiply
    364,709.44x = 546,994.56 × 154,495.20
  4. Step 4: Simplify right side
    364,709.44x = 84,508,033,946.11
  5. Step 5: Solve for x
    x = 84,508,033,946.11/364,709.44
  6. Step 6: Final answer
    x = 231,713.32

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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.