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Finding the Fourth Proportional to 382,983.38, 528,436.95 and 221,828.81

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Solution

The fourth proportional to 382,983.38, 528,436.95 and 221,828.81 is: 306,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,983.38 : 528,436.95 = 221,828.81 : x
  2. Step 2: Convert to fraction form
    382,983.38/528,436.95 = 221,828.81/x
  3. Step 3: Cross multiply
    382,983.38x = 528,436.95 × 221,828.81
  4. Step 4: Simplify right side
    382,983.38x = 117,222,537,136.35
  5. Step 5: Solve for x
    x = 117,222,537,136.35/382,983.38
  6. Step 6: Final answer
    x = 306,077.35

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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.