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Finding the Fourth Proportional to 382,484.10, 527,845.90 and 221,307.97

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Solution

The fourth proportional to 382,484.10, 527,845.90 and 221,307.97 is: 305,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,484.10 : 527,845.90 = 221,307.97 : x
  2. Step 2: Convert to fraction form
    382,484.10/527,845.90 = 221,307.97/x
  3. Step 3: Cross multiply
    382,484.10x = 527,845.90 × 221,307.97
  4. Step 4: Simplify right side
    382,484.10x = 116,816,501,962.59
  5. Step 5: Solve for x
    x = 116,816,501,962.59/382,484.10
  6. Step 6: Final answer
    x = 305,415.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.