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Finding the Fourth Proportional to 384,210.96, 530,210.52 and 214,445.04

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Solution

The fourth proportional to 384,210.96, 530,210.52 and 214,445.04 is: 295,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,210.96 : 530,210.52 = 214,445.04 : x
  2. Step 2: Convert to fraction form
    384,210.96/530,210.52 = 214,445.04/x
  3. Step 3: Cross multiply
    384,210.96x = 530,210.52 × 214,445.04
  4. Step 4: Simplify right side
    384,210.96x = 113,701,016,169.82
  5. Step 5: Solve for x
    x = 113,701,016,169.82/384,210.96
  6. Step 6: Final answer
    x = 295,933.82

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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.