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Finding the Fourth Proportional to 380,858.94, 571,368.51 and 144,196.38

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Solution

The fourth proportional to 380,858.94, 571,368.51 and 144,196.38 is: 216,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,858.94 : 571,368.51 = 144,196.38 : x
  2. Step 2: Convert to fraction form
    380,858.94/571,368.51 = 144,196.38/x
  3. Step 3: Cross multiply
    380,858.94x = 571,368.51 × 144,196.38
  4. Step 4: Simplify right side
    380,858.94x = 82,389,270,787.99
  5. Step 5: Solve for x
    x = 82,389,270,787.99/380,858.94
  6. Step 6: Final answer
    x = 216,324.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.