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Finding the Fourth Proportional to 380,032.69, 524,509.41 and 218,858.08

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Solution

The fourth proportional to 380,032.69, 524,509.41 and 218,858.08 is: 302,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,032.69 : 524,509.41 = 218,858.08 : x
  2. Step 2: Convert to fraction form
    380,032.69/524,509.41 = 218,858.08/x
  3. Step 3: Cross multiply
    380,032.69x = 524,509.41 × 218,858.08
  4. Step 4: Simplify right side
    380,032.69x = 114,793,122,414.53
  5. Step 5: Solve for x
    x = 114,793,122,414.53/380,032.69
  6. Step 6: Final answer
    x = 302,061.18

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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.