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Finding the Fourth Proportional to 416,018.84, 623,462.78 and 175,933.16

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Solution

The fourth proportional to 416,018.84, 623,462.78 and 175,933.16 is: 263,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,018.84 : 623,462.78 = 175,933.16 : x
  2. Step 2: Convert to fraction form
    416,018.84/623,462.78 = 175,933.16/x
  3. Step 3: Cross multiply
    416,018.84x = 623,462.78 × 175,933.16
  4. Step 4: Simplify right side
    416,018.84x = 109,687,777,027.79
  5. Step 5: Solve for x
    x = 109,687,777,027.79/416,018.84
  6. Step 6: Final answer
    x = 263,660.60

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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.