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Finding the Fourth Proportional to 380,411.48, 524,967.04 and 219,265.44

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Solution

The fourth proportional to 380,411.48, 524,967.04 and 219,265.44 is: 302,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,411.48 : 524,967.04 = 219,265.44 : x
  2. Step 2: Convert to fraction form
    380,411.48/524,967.04 = 219,265.44/x
  3. Step 3: Cross multiply
    380,411.48x = 524,967.04 × 219,265.44
  4. Step 4: Simplify right side
    380,411.48x = 115,107,129,011.10
  5. Step 5: Solve for x
    x = 115,107,129,011.10/380,411.48
  6. Step 6: Final answer
    x = 302,585.84

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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.