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Finding the Fourth Proportional to 488,905.88, 732,934.98 and 189,180.23

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Solution

The fourth proportional to 488,905.88, 732,934.98 and 189,180.23 is: 283,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,905.88 : 732,934.98 = 189,180.23 : x
  2. Step 2: Convert to fraction form
    488,905.88/732,934.98 = 189,180.23/x
  3. Step 3: Cross multiply
    488,905.88x = 732,934.98 × 189,180.23
  4. Step 4: Simplify right side
    488,905.88x = 138,656,804,426.77
  5. Step 5: Solve for x
    x = 138,656,804,426.77/488,905.88
  6. Step 6: Final answer
    x = 283,606.34

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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.