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Finding the Fourth Proportional to 453,669.30, 680,503.95 and 311,951.70

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Solution

The fourth proportional to 453,669.30, 680,503.95 and 311,951.70 is: 467,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,669.30 : 680,503.95 = 311,951.70 : x
  2. Step 2: Convert to fraction form
    453,669.30/680,503.95 = 311,951.70/x
  3. Step 3: Cross multiply
    453,669.30x = 680,503.95 × 311,951.70
  4. Step 4: Simplify right side
    453,669.30x = 212,284,364,059.22
  5. Step 5: Solve for x
    x = 212,284,364,059.22/453,669.30
  6. Step 6: Final answer
    x = 467,927.55

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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.