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Finding the Fourth Proportional to 380,006.10, 524,362.32 and 218,913.30

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Solution

The fourth proportional to 380,006.10, 524,362.32 and 218,913.30 is: 302,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,006.10 : 524,362.32 = 218,913.30 : x
  2. Step 2: Convert to fraction form
    380,006.10/524,362.32 = 218,913.30/x
  3. Step 3: Cross multiply
    380,006.10x = 524,362.32 × 218,913.30
  4. Step 4: Simplify right side
    380,006.10x = 114,789,885,866.86
  5. Step 5: Solve for x
    x = 114,789,885,866.86/380,006.10
  6. Step 6: Final answer
    x = 302,073.80

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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.