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Finding the Fourth Proportional to 333,238, 460,079.04 and 205,985.92

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Solution

The fourth proportional to 333,238, 460,079.04 and 205,985.92 is: 284,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,238 : 460,079.04 = 205,985.92 : x
  2. Step 2: Convert to fraction form
    333,238/460,079.04 = 205,985.92/x
  3. Step 3: Cross multiply
    333,238x = 460,079.04 × 205,985.92
  4. Step 4: Simplify right side
    333,238x = 94,769,804,327.12
  5. Step 5: Solve for x
    x = 94,769,804,327.12/333,238
  6. Step 6: Final answer
    x = 284,390.75

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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.