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Finding the Fourth Proportional to 488,715.76, 732,843.56 and 189,336.52

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Solution

The fourth proportional to 488,715.76, 732,843.56 and 189,336.52 is: 283,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,715.76 : 732,843.56 = 189,336.52 : x
  2. Step 2: Convert to fraction form
    488,715.76/732,843.56 = 189,336.52/x
  3. Step 3: Cross multiply
    488,715.76x = 732,843.56 × 189,336.52
  4. Step 4: Simplify right side
    488,715.76x = 138,754,049,354.81
  5. Step 5: Solve for x
    x = 138,754,049,354.81/488,715.76
  6. Step 6: Final answer
    x = 283,915.64

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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.