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Finding the Fourth Proportional to 468,283.21, 646,231.98 and 253,424.84

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Solution

The fourth proportional to 468,283.21, 646,231.98 and 253,424.84 is: 349,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,283.21 : 646,231.98 = 253,424.84 : x
  2. Step 2: Convert to fraction form
    468,283.21/646,231.98 = 253,424.84/x
  3. Step 3: Cross multiply
    468,283.21x = 646,231.98 × 253,424.84
  4. Step 4: Simplify right side
    468,283.21x = 163,771,236,134.38
  5. Step 5: Solve for x
    x = 163,771,236,134.38/468,283.21
  6. Step 6: Final answer
    x = 349,726.90

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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.