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Finding the Fourth Proportional to 468,476.83, 646,497.30 and 253,616.84

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Solution

The fourth proportional to 468,476.83, 646,497.30 and 253,616.84 is: 349,990.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,476.83 : 646,497.30 = 253,616.84 : x
  2. Step 2: Convert to fraction form
    468,476.83/646,497.30 = 253,616.84/x
  3. Step 3: Cross multiply
    468,476.83x = 646,497.30 × 253,616.84
  4. Step 4: Simplify right side
    468,476.83x = 163,962,601,010.88
  5. Step 5: Solve for x
    x = 163,962,601,010.88/468,476.83
  6. Step 6: Final answer
    x = 349,990.84

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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.