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Finding the Fourth Proportional to 329,830.14, 455,166.48 and 178,927.14

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Solution

The fourth proportional to 329,830.14, 455,166.48 and 178,927.14 is: 246,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,830.14 : 455,166.48 = 178,927.14 : x
  2. Step 2: Convert to fraction form
    329,830.14/455,166.48 = 178,927.14/x
  3. Step 3: Cross multiply
    329,830.14x = 455,166.48 × 178,927.14
  4. Step 4: Simplify right side
    329,830.14x = 81,441,636,490.27
  5. Step 5: Solve for x
    x = 81,441,636,490.27/329,830.14
  6. Step 6: Final answer
    x = 246,919.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.