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Finding the Fourth Proportional to 453,615.40, 680,423.10 and 311,897.80

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Solution

The fourth proportional to 453,615.40, 680,423.10 and 311,897.80 is: 467,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,615.40 : 680,423.10 = 311,897.80 : x
  2. Step 2: Convert to fraction form
    453,615.40/680,423.10 = 311,897.80/x
  3. Step 3: Cross multiply
    453,615.40x = 680,423.10 × 311,897.80
  4. Step 4: Simplify right side
    453,615.40x = 212,222,467,959.18
  5. Step 5: Solve for x
    x = 212,222,467,959.18/453,615.40
  6. Step 6: Final answer
    x = 467,846.70

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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.