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Finding the Fourth Proportional to 382,111.30, 573,166.95 and 204,964.30

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Solution

The fourth proportional to 382,111.30, 573,166.95 and 204,964.30 is: 307,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,111.30 : 573,166.95 = 204,964.30 : x
  2. Step 2: Convert to fraction form
    382,111.30/573,166.95 = 204,964.30/x
  3. Step 3: Cross multiply
    382,111.30x = 573,166.95 × 204,964.30
  4. Step 4: Simplify right side
    382,111.30x = 117,478,762,689.89
  5. Step 5: Solve for x
    x = 117,478,762,689.89/382,111.30
  6. Step 6: Final answer
    x = 307,446.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.