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Finding the Fourth Proportional to 302,491.69, 452,597.48 and 180,460.94

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Solution

The fourth proportional to 302,491.69, 452,597.48 and 180,460.94 is: 270,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,491.69 : 452,597.48 = 180,460.94 : x
  2. Step 2: Convert to fraction form
    302,491.69/452,597.48 = 180,460.94/x
  3. Step 3: Cross multiply
    302,491.69x = 452,597.48 × 180,460.94
  4. Step 4: Simplify right side
    302,491.69x = 81,676,163,517.14
  5. Step 5: Solve for x
    x = 81,676,163,517.14/302,491.69
  6. Step 6: Final answer
    x = 270,011.27

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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.