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Finding the Fourth Proportional to 665,234.30, 998,482.31 and 411,748.01

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Solution

The fourth proportional to 665,234.30, 998,482.31 and 411,748.01 is: 618,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,234.30 : 998,482.31 = 411,748.01 : x
  2. Step 2: Convert to fraction form
    665,234.30/998,482.31 = 411,748.01/x
  3. Step 3: Cross multiply
    665,234.30x = 998,482.31 × 411,748.01
  4. Step 4: Simplify right side
    665,234.30x = 411,123,104,600.17
  5. Step 5: Solve for x
    x = 411,123,104,600.17/665,234.30
  6. Step 6: Final answer
    x = 618,012.49

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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.