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Finding the Fourth Proportional to 384,108.69, 530,070.08 and 212,026.75

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Solution

The fourth proportional to 384,108.69, 530,070.08 and 212,026.75 is: 292,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,108.69 : 530,070.08 = 212,026.75 : x
  2. Step 2: Convert to fraction form
    384,108.69/530,070.08 = 212,026.75/x
  3. Step 3: Cross multiply
    384,108.69x = 530,070.08 × 212,026.75
  4. Step 4: Simplify right side
    384,108.69x = 112,389,034,744.43
  5. Step 5: Solve for x
    x = 112,389,034,744.43/384,108.69
  6. Step 6: Final answer
    x = 292,596.96

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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.