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Finding the Fourth Proportional to 614,097.88, 847,806.73 and 410,493.65

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Solution

The fourth proportional to 614,097.88, 847,806.73 and 410,493.65 is: 566,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,097.88 : 847,806.73 = 410,493.65 : x
  2. Step 2: Convert to fraction form
    614,097.88/847,806.73 = 410,493.65/x
  3. Step 3: Cross multiply
    614,097.88x = 847,806.73 × 410,493.65
  4. Step 4: Simplify right side
    614,097.88x = 348,019,273,827.00
  5. Step 5: Solve for x
    x = 348,019,273,827.00/614,097.88
  6. Step 6: Final answer
    x = 566,716.29

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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.