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Finding the Fourth Proportional to 307,228.16, 460,742.57 and 117,678.44

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Solution

The fourth proportional to 307,228.16, 460,742.57 and 117,678.44 is: 176,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,228.16 : 460,742.57 = 117,678.44 : x
  2. Step 2: Convert to fraction form
    307,228.16/460,742.57 = 117,678.44/x
  3. Step 3: Cross multiply
    307,228.16x = 460,742.57 × 117,678.44
  4. Step 4: Simplify right side
    307,228.16x = 54,219,464,575.48
  5. Step 5: Solve for x
    x = 54,219,464,575.48/307,228.16
  6. Step 6: Final answer
    x = 176,479.48

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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.