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Finding the Fourth Proportional to 382,308.08, 527,598.60 and 210,239.12

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Solution

The fourth proportional to 382,308.08, 527,598.60 and 210,239.12 is: 290,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,308.08 : 527,598.60 = 210,239.12 : x
  2. Step 2: Convert to fraction form
    382,308.08/527,598.60 = 210,239.12/x
  3. Step 3: Cross multiply
    382,308.08x = 527,598.60 × 210,239.12
  4. Step 4: Simplify right side
    382,308.08x = 110,921,865,377.23
  5. Step 5: Solve for x
    x = 110,921,865,377.23/382,308.08
  6. Step 6: Final answer
    x = 290,137.38

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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.