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Finding the Fourth Proportional to 302,711.82, 417,742.27 and 175,461.22

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Solution

The fourth proportional to 302,711.82, 417,742.27 and 175,461.22 is: 242,136.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,711.82 : 417,742.27 = 175,461.22 : x
  2. Step 2: Convert to fraction form
    302,711.82/417,742.27 = 175,461.22/x
  3. Step 3: Cross multiply
    302,711.82x = 417,742.27 × 175,461.22
  4. Step 4: Simplify right side
    302,711.82x = 73,297,568,339.77
  5. Step 5: Solve for x
    x = 73,297,568,339.77/302,711.82
  6. Step 6: Final answer
    x = 242,136.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.