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Finding the Fourth Proportional to 291,785.42, 402,655.83 and 162,727.82

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Solution

The fourth proportional to 291,785.42, 402,655.83 and 162,727.82 is: 224,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,785.42 : 402,655.83 = 162,727.82 : x
  2. Step 2: Convert to fraction form
    291,785.42/402,655.83 = 162,727.82/x
  3. Step 3: Cross multiply
    291,785.42x = 402,655.83 × 162,727.82
  4. Step 4: Simplify right side
    291,785.42x = 65,523,303,412.91
  5. Step 5: Solve for x
    x = 65,523,303,412.91/291,785.42
  6. Step 6: Final answer
    x = 224,559.90

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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.