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Finding the Fourth Proportional to 364,246.68, 546,370.08 and 284,419.56

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Solution

The fourth proportional to 364,246.68, 546,370.08 and 284,419.56 is: 426,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,246.68 : 546,370.08 = 284,419.56 : x
  2. Step 2: Convert to fraction form
    364,246.68/546,370.08 = 284,419.56/x
  3. Step 3: Cross multiply
    364,246.68x = 546,370.08 × 284,419.56
  4. Step 4: Simplify right side
    364,246.68x = 155,398,337,750.77
  5. Step 5: Solve for x
    x = 155,398,337,750.77/364,246.68
  6. Step 6: Final answer
    x = 426,629.39

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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.