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Finding the Fourth Proportional to 333,726.24, 460,173.24 and 212,675.88

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Solution

The fourth proportional to 333,726.24, 460,173.24 and 212,675.88 is: 293,257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,726.24 : 460,173.24 = 212,675.88 : x
  2. Step 2: Convert to fraction form
    333,726.24/460,173.24 = 212,675.88/x
  3. Step 3: Cross multiply
    333,726.24x = 460,173.24 × 212,675.88
  4. Step 4: Simplify right side
    333,726.24x = 97,867,748,769.45
  5. Step 5: Solve for x
    x = 97,867,748,769.45/333,726.24
  6. Step 6: Final answer
    x = 293,257.58

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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.