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Finding the Fourth Proportional to 329,830.96, 455,165.76 and 178,927.92

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Solution

The fourth proportional to 329,830.96, 455,165.76 and 178,927.92 is: 246,920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,830.96 : 455,165.76 = 178,927.92 : x
  2. Step 2: Convert to fraction form
    329,830.96/455,165.76 = 178,927.92/x
  3. Step 3: Cross multiply
    329,830.96x = 455,165.76 × 178,927.92
  4. Step 4: Simplify right side
    329,830.96x = 81,441,862,692.02
  5. Step 5: Solve for x
    x = 81,441,862,692.02/329,830.96
  6. Step 6: Final answer
    x = 246,920.01

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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.