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Finding the Fourth Proportional to 382,572.80, 528,051.84 and 269,446.40

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Solution

The fourth proportional to 382,572.80, 528,051.84 and 269,446.40 is: 371,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,572.80 : 528,051.84 = 269,446.40 : x
  2. Step 2: Convert to fraction form
    382,572.80/528,051.84 = 269,446.40/x
  3. Step 3: Cross multiply
    382,572.80x = 528,051.84 × 269,446.40
  4. Step 4: Simplify right side
    382,572.80x = 142,281,667,301.38
  5. Step 5: Solve for x
    x = 142,281,667,301.38/382,572.80
  6. Step 6: Final answer
    x = 371,907.43

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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.