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Finding the Fourth Proportional to 461,144.98, 687,133.26 and 410,838.51

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Solution

The fourth proportional to 461,144.98, 687,133.26 and 410,838.51 is: 612,173.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,144.98 : 687,133.26 = 410,838.51 : x
  2. Step 2: Convert to fraction form
    461,144.98/687,133.26 = 410,838.51/x
  3. Step 3: Cross multiply
    461,144.98x = 687,133.26 × 410,838.51
  4. Step 4: Simplify right side
    461,144.98x = 282,300,807,286.59
  5. Step 5: Solve for x
    x = 282,300,807,286.59/461,144.98
  6. Step 6: Final answer
    x = 612,173.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.