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Finding the Fourth Proportional to 364,122.96, 546,213.60 and 278,856.72

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Solution

The fourth proportional to 364,122.96, 546,213.60 and 278,856.72 is: 418,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,122.96 : 546,213.60 = 278,856.72 : x
  2. Step 2: Convert to fraction form
    364,122.96/546,213.60 = 278,856.72/x
  3. Step 3: Cross multiply
    364,122.96x = 546,213.60 × 278,856.72
  4. Step 4: Simplify right side
    364,122.96x = 152,315,332,915.39
  5. Step 5: Solve for x
    x = 152,315,332,915.39/364,122.96
  6. Step 6: Final answer
    x = 418,307.41

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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.