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Finding the Fourth Proportional to 442,525.40, 664,133.70 and 205,897.40

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Solution

The fourth proportional to 442,525.40, 664,133.70 and 205,897.40 is: 309,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,525.40 : 664,133.70 = 205,897.40 : x
  2. Step 2: Convert to fraction form
    442,525.40/664,133.70 = 205,897.40/x
  3. Step 3: Cross multiply
    442,525.40x = 664,133.70 × 205,897.40
  4. Step 4: Simplify right side
    442,525.40x = 136,743,402,082.38
  5. Step 5: Solve for x
    x = 136,743,402,082.38/442,525.40
  6. Step 6: Final answer
    x = 309,006.90

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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.