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Finding the Fourth Proportional to 543,638.24, 816,786.48 and 513,424.16

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Solution

The fourth proportional to 543,638.24, 816,786.48 and 513,424.16 is: 771,391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,638.24 : 816,786.48 = 513,424.16 : x
  2. Step 2: Convert to fraction form
    543,638.24/816,786.48 = 513,424.16/x
  3. Step 3: Cross multiply
    543,638.24x = 816,786.48 × 513,424.16
  4. Step 4: Simplify right side
    543,638.24x = 419,357,912,393.36
  5. Step 5: Solve for x
    x = 419,357,912,393.36/543,638.24
  6. Step 6: Final answer
    x = 771,391.49

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1.5x scale

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.