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Finding the Fourth Proportional to 551,027.16, 826,482.42 and 177,021

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Solution

The fourth proportional to 551,027.16, 826,482.42 and 177,021 is: 265,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,027.16 : 826,482.42 = 177,021 : x
  2. Step 2: Convert to fraction form
    551,027.16/826,482.42 = 177,021/x
  3. Step 3: Cross multiply
    551,027.16x = 826,482.42 × 177,021
  4. Step 4: Simplify right side
    551,027.16x = 146,304,744,470.82
  5. Step 5: Solve for x
    x = 146,304,744,470.82/551,027.16
  6. Step 6: Final answer
    x = 265,512.76

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