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Finding the Fourth Proportional to 461,647.91, 692,561.63 and 177,317.57

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Solution

The fourth proportional to 461,647.91, 692,561.63 and 177,317.57 is: 266,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,647.91 : 692,561.63 = 177,317.57 : x
  2. Step 2: Convert to fraction form
    461,647.91/692,561.63 = 177,317.57/x
  3. Step 3: Cross multiply
    461,647.91x = 692,561.63 × 177,317.57
  4. Step 4: Simplify right side
    461,647.91x = 122,803,345,306.84
  5. Step 5: Solve for x
    x = 122,803,345,306.84/461,647.91
  6. Step 6: Final answer
    x = 266,010.83

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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.