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Finding the Fourth Proportional to 392,022.81, 541,156.65 and 264,870.63

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Solution

The fourth proportional to 392,022.81, 541,156.65 and 264,870.63 is: 365,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,022.81 : 541,156.65 = 264,870.63 : x
  2. Step 2: Convert to fraction form
    392,022.81/541,156.65 = 264,870.63/x
  3. Step 3: Cross multiply
    392,022.81x = 541,156.65 × 264,870.63
  4. Step 4: Simplify right side
    392,022.81x = 143,336,502,814.19
  5. Step 5: Solve for x
    x = 143,336,502,814.19/392,022.81
  6. Step 6: Final answer
    x = 365,633.07

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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.