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Finding the Fourth Proportional to 302,493.19, 452,599.72 and 180,462.44

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Solution

The fourth proportional to 302,493.19, 452,599.72 and 180,462.44 is: 270,013.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,493.19 : 452,599.72 = 180,462.44 : x
  2. Step 2: Convert to fraction form
    302,493.19/452,599.72 = 180,462.44/x
  3. Step 3: Cross multiply
    302,493.19x = 452,599.72 × 180,462.44
  4. Step 4: Simplify right side
    302,493.19x = 81,677,249,814.52
  5. Step 5: Solve for x
    x = 81,677,249,814.52/302,493.19
  6. Step 6: Final answer
    x = 270,013.52

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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.