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Finding the Fourth Proportional to 340,658.06, 510,505.26 and 188,922.28

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Solution

The fourth proportional to 340,658.06, 510,505.26 and 188,922.28 is: 283,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,658.06 : 510,505.26 = 188,922.28 : x
  2. Step 2: Convert to fraction form
    340,658.06/510,505.26 = 188,922.28/x
  3. Step 3: Cross multiply
    340,658.06x = 510,505.26 × 188,922.28
  4. Step 4: Simplify right side
    340,658.06x = 96,445,817,671.19
  5. Step 5: Solve for x
    x = 96,445,817,671.19/340,658.06
  6. Step 6: Final answer
    x = 283,116.21

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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.