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Finding the Fourth Proportional to 468,302.36, 646,257.30 and 253,443.98

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Solution

The fourth proportional to 468,302.36, 646,257.30 and 253,443.98 is: 349,752.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,302.36 : 646,257.30 = 253,443.98 : x
  2. Step 2: Convert to fraction form
    468,302.36/646,257.30 = 253,443.98/x
  3. Step 3: Cross multiply
    468,302.36x = 646,257.30 × 253,443.98
  4. Step 4: Simplify right side
    468,302.36x = 163,790,022,216.05
  5. Step 5: Solve for x
    x = 163,790,022,216.05/468,302.36
  6. Step 6: Final answer
    x = 349,752.72

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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.