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Finding the Fourth Proportional to 489,661.61, 734,049.74 and 174,044.70

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Solution

The fourth proportional to 489,661.61, 734,049.74 and 174,044.70 is: 260,909.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,661.61 : 734,049.74 = 174,044.70 : x
  2. Step 2: Convert to fraction form
    489,661.61/734,049.74 = 174,044.70/x
  3. Step 3: Cross multiply
    489,661.61x = 734,049.74 × 174,044.70
  4. Step 4: Simplify right side
    489,661.61x = 127,757,467,218.49
  5. Step 5: Solve for x
    x = 127,757,467,218.49/489,661.61
  6. Step 6: Final answer
    x = 260,909.71

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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.