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Finding the Fourth Proportional to 302,491.94, 452,597.85 and 180,461.19

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Solution

The fourth proportional to 302,491.94, 452,597.85 and 180,461.19 is: 270,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,491.94 : 452,597.85 = 180,461.19 : x
  2. Step 2: Convert to fraction form
    302,491.94/452,597.85 = 180,461.19/x
  3. Step 3: Cross multiply
    302,491.94x = 452,597.85 × 180,461.19
  4. Step 4: Simplify right side
    302,491.94x = 81,676,346,602.44
  5. Step 5: Solve for x
    x = 81,676,346,602.44/302,491.94
  6. Step 6: Final answer
    x = 270,011.65

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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.