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Finding the Fourth Proportional to 475,491.96, 712,538.04 and 209,008.44

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Solution

The fourth proportional to 475,491.96, 712,538.04 and 209,008.44 is: 313,205.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,491.96 : 712,538.04 = 209,008.44 : x
  2. Step 2: Convert to fraction form
    475,491.96/712,538.04 = 209,008.44/x
  3. Step 3: Cross multiply
    475,491.96x = 712,538.04 × 209,008.44
  4. Step 4: Simplify right side
    475,491.96x = 148,926,464,181.06
  5. Step 5: Solve for x
    x = 148,926,464,181.06/475,491.96
  6. Step 6: Final answer
    x = 313,205.01

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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.