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Finding the Fourth Proportional to 514,204.93, 709,563.40 and 287,819.65

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Solution

The fourth proportional to 514,204.93, 709,563.40 and 287,819.65 is: 397,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,204.93 : 709,563.40 = 287,819.65 : x
  2. Step 2: Convert to fraction form
    514,204.93/709,563.40 = 287,819.65/x
  3. Step 3: Cross multiply
    514,204.93x = 709,563.40 × 287,819.65
  4. Step 4: Simplify right side
    514,204.93x = 204,226,289,440.81
  5. Step 5: Solve for x
    x = 204,226,289,440.81/514,204.93
  6. Step 6: Final answer
    x = 397,169.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.