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Finding the Fourth Proportional to 543,853.49, 812,223.64 and 463,029.80

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Solution

The fourth proportional to 543,853.49, 812,223.64 and 463,029.80 is: 691,516.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,853.49 : 812,223.64 = 463,029.80 : x
  2. Step 2: Convert to fraction form
    543,853.49/812,223.64 = 463,029.80/x
  3. Step 3: Cross multiply
    543,853.49x = 812,223.64 × 463,029.80
  4. Step 4: Simplify right side
    543,853.49x = 376,083,746,102.14
  5. Step 5: Solve for x
    x = 376,083,746,102.14/543,853.49
  6. Step 6: Final answer
    x = 691,516.66

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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.