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Finding the Fourth Proportional to 302,491.44, 452,597.10 and 180,460.69

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Solution

The fourth proportional to 302,491.44, 452,597.10 and 180,460.69 is: 270,010.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,491.44 : 452,597.10 = 180,460.69 : x
  2. Step 2: Convert to fraction form
    302,491.44/452,597.10 = 180,460.69/x
  3. Step 3: Cross multiply
    302,491.44x = 452,597.10 × 180,460.69
  4. Step 4: Simplify right side
    302,491.44x = 81,675,982,695.01
  5. Step 5: Solve for x
    x = 81,675,982,695.01/302,491.44
  6. Step 6: Final answer
    x = 270,010.89

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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.