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Finding the Fourth Proportional to 335,044.52, 462,207.30 and 205,865.72

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Solution

The fourth proportional to 335,044.52, 462,207.30 and 205,865.72 is: 283,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,044.52 : 462,207.30 = 205,865.72 : x
  2. Step 2: Convert to fraction form
    335,044.52/462,207.30 = 205,865.72/x
  3. Step 3: Cross multiply
    335,044.52x = 462,207.30 × 205,865.72
  4. Step 4: Simplify right side
    335,044.52x = 95,152,638,603.76
  5. Step 5: Solve for x
    x = 95,152,638,603.76/335,044.52
  6. Step 6: Final answer
    x = 283,999.98

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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.