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Finding the Fourth Proportional to 461,093.13, 691,700.18 and 180,573.93

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Solution

The fourth proportional to 461,093.13, 691,700.18 and 180,573.93 is: 270,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,093.13 : 691,700.18 = 180,573.93 : x
  2. Step 2: Convert to fraction form
    461,093.13/691,700.18 = 180,573.93/x
  3. Step 3: Cross multiply
    461,093.13x = 691,700.18 × 180,573.93
  4. Step 4: Simplify right side
    461,093.13x = 124,903,018,981.44
  5. Step 5: Solve for x
    x = 124,903,018,981.44/461,093.13
  6. Step 6: Final answer
    x = 270,884.58

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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.