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Finding the Fourth Proportional to 364,687.56, 546,268.40 and 293,223.22

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Solution

The fourth proportional to 364,687.56, 546,268.40 and 293,223.22 is: 439,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,687.56 : 546,268.40 = 293,223.22 : x
  2. Step 2: Convert to fraction form
    364,687.56/546,268.40 = 293,223.22/x
  3. Step 3: Cross multiply
    364,687.56x = 546,268.40 × 293,223.22
  4. Step 4: Simplify right side
    364,687.56x = 160,178,576,400.46
  5. Step 5: Solve for x
    x = 160,178,576,400.46/364,687.56
  6. Step 6: Final answer
    x = 439,221.39

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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.