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Finding the Fourth Proportional to 453,914.50, 680,674.80 and 154,314.60

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Solution

The fourth proportional to 453,914.50, 680,674.80 and 154,314.60 is: 231,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,914.50 : 680,674.80 = 154,314.60 : x
  2. Step 2: Convert to fraction form
    453,914.50/680,674.80 = 154,314.60/x
  3. Step 3: Cross multiply
    453,914.50x = 680,674.80 × 154,314.60
  4. Step 4: Simplify right side
    453,914.50x = 105,038,059,492.08
  5. Step 5: Solve for x
    x = 105,038,059,492.08/453,914.50
  6. Step 6: Final answer
    x = 231,404.94

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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.