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Finding the Fourth Proportional to 380,178.63, 524,763.36 and 219,141.32

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Solution

The fourth proportional to 380,178.63, 524,763.36 and 219,141.32 is: 302,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,178.63 : 524,763.36 = 219,141.32 : x
  2. Step 2: Convert to fraction form
    380,178.63/524,763.36 = 219,141.32/x
  3. Step 3: Cross multiply
    380,178.63x = 524,763.36 × 219,141.32
  4. Step 4: Simplify right side
    380,178.63x = 114,997,332,774.22
  5. Step 5: Solve for x
    x = 114,997,332,774.22/380,178.63
  6. Step 6: Final answer
    x = 302,482.37

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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.