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Finding the Fourth Proportional to 380,209.68, 524,713.80 and 219,061.84

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Solution

The fourth proportional to 380,209.68, 524,713.80 and 219,061.84 is: 302,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,209.68 : 524,713.80 = 219,061.84 : x
  2. Step 2: Convert to fraction form
    380,209.68/524,713.80 = 219,061.84/x
  3. Step 3: Cross multiply
    380,209.68x = 524,713.80 × 219,061.84
  4. Step 4: Simplify right side
    380,209.68x = 114,944,770,501.39
  5. Step 5: Solve for x
    x = 114,944,770,501.39/380,209.68
  6. Step 6: Final answer
    x = 302,319.42

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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.