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Finding the Fourth Proportional to 429,941.84, 645,004.50 and 145,622.43

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Solution

The fourth proportional to 429,941.84, 645,004.50 and 145,622.43 is: 218,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,941.84 : 645,004.50 = 145,622.43 : x
  2. Step 2: Convert to fraction form
    429,941.84/645,004.50 = 145,622.43/x
  3. Step 3: Cross multiply
    429,941.84x = 645,004.50 × 145,622.43
  4. Step 4: Simplify right side
    429,941.84x = 93,927,122,104.85
  5. Step 5: Solve for x
    x = 93,927,122,104.85/429,941.84
  6. Step 6: Final answer
    x = 218,464.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.