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Finding the Fourth Proportional to 313,530.72, 470,901.24 and 268,653.48

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Solution

The fourth proportional to 313,530.72, 470,901.24 and 268,653.48 is: 403,498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,530.72 : 470,901.24 = 268,653.48 : x
  2. Step 2: Convert to fraction form
    313,530.72/470,901.24 = 268,653.48/x
  3. Step 3: Cross multiply
    313,530.72x = 470,901.24 × 268,653.48
  4. Step 4: Simplify right side
    313,530.72x = 126,509,256,862.32
  5. Step 5: Solve for x
    x = 126,509,256,862.32/313,530.72
  6. Step 6: Final answer
    x = 403,498.76

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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.