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Finding the Fourth Proportional to 455,876.90, 683,824.16 and 140,333.50

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Solution

The fourth proportional to 455,876.90, 683,824.16 and 140,333.50 is: 210,502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,876.90 : 683,824.16 = 140,333.50 : x
  2. Step 2: Convert to fraction form
    455,876.90/683,824.16 = 140,333.50/x
  3. Step 3: Cross multiply
    455,876.90x = 683,824.16 × 140,333.50
  4. Step 4: Simplify right side
    455,876.90x = 95,963,437,757.36
  5. Step 5: Solve for x
    x = 95,963,437,757.36/455,876.90
  6. Step 6: Final answer
    x = 210,502.96

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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.