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Finding the Fourth Proportional to 273,822.66, 410,878.53 and 194,373.81

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Solution

The fourth proportional to 273,822.66, 410,878.53 and 194,373.81 is: 291,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,822.66 : 410,878.53 = 194,373.81 : x
  2. Step 2: Convert to fraction form
    273,822.66/410,878.53 = 194,373.81/x
  3. Step 3: Cross multiply
    273,822.66x = 410,878.53 × 194,373.81
  4. Step 4: Simplify right side
    273,822.66x = 79,864,025,323.30
  5. Step 5: Solve for x
    x = 79,864,025,323.30/273,822.66
  6. Step 6: Final answer
    x = 291,663.32

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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.