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Finding the Fourth Proportional to 299,187.60, 449,000.10 and 210,614.10

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Solution

The fourth proportional to 299,187.60, 449,000.10 and 210,614.10 is: 316,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,187.60 : 449,000.10 = 210,614.10 : x
  2. Step 2: Convert to fraction form
    299,187.60/449,000.10 = 210,614.10/x
  3. Step 3: Cross multiply
    299,187.60x = 449,000.10 × 210,614.10
  4. Step 4: Simplify right side
    299,187.60x = 94,565,751,961.41
  5. Step 5: Solve for x
    x = 94,565,751,961.41/299,187.60
  6. Step 6: Final answer
    x = 316,075.10

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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.