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Finding the Fourth Proportional to 380,081.20, 524,567.70 and 218,904.88

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Solution

The fourth proportional to 380,081.20, 524,567.70 and 218,904.88 is: 302,120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,081.20 : 524,567.70 = 218,904.88 : x
  2. Step 2: Convert to fraction form
    380,081.20/524,567.70 = 218,904.88/x
  3. Step 3: Cross multiply
    380,081.20x = 524,567.70 × 218,904.88
  4. Step 4: Simplify right side
    380,081.20x = 114,830,429,420.38
  5. Step 5: Solve for x
    x = 114,830,429,420.38/380,081.20
  6. Step 6: Final answer
    x = 302,120.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.