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Finding the Fourth Proportional to 328,092.10, 492,138.15 and 280,852.90

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Solution

The fourth proportional to 328,092.10, 492,138.15 and 280,852.90 is: 421,279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,092.10 : 492,138.15 = 280,852.90 : x
  2. Step 2: Convert to fraction form
    328,092.10/492,138.15 = 280,852.90/x
  3. Step 3: Cross multiply
    328,092.10x = 492,138.15 × 280,852.90
  4. Step 4: Simplify right side
    328,092.10x = 138,218,426,628.14
  5. Step 5: Solve for x
    x = 138,218,426,628.14/328,092.10
  6. Step 6: Final answer
    x = 421,279.35

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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.