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Finding the Fourth Proportional to 311,045.37, 466,649.61 and 97,804.63

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Solution

The fourth proportional to 311,045.37, 466,649.61 and 97,804.63 is: 146,732.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,045.37 : 466,649.61 = 97,804.63 : x
  2. Step 2: Convert to fraction form
    311,045.37/466,649.61 = 97,804.63/x
  3. Step 3: Cross multiply
    311,045.37x = 466,649.61 × 97,804.63
  4. Step 4: Simplify right side
    311,045.37x = 45,640,492,445.69
  5. Step 5: Solve for x
    x = 45,640,492,445.69/311,045.37
  6. Step 6: Final answer
    x = 146,732.59

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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.