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Finding the Fourth Proportional to 543,064.12, 815,192.10 and 431,461.72

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Solution

The fourth proportional to 543,064.12, 815,192.10 and 431,461.72 is: 647,666.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,064.12 : 815,192.10 = 431,461.72 : x
  2. Step 2: Convert to fraction form
    543,064.12/815,192.10 = 431,461.72/x
  3. Step 3: Cross multiply
    543,064.12x = 815,192.10 × 431,461.72
  4. Step 4: Simplify right side
    543,064.12x = 351,724,185,596.41
  5. Step 5: Solve for x
    x = 351,724,185,596.41/543,064.12
  6. Step 6: Final answer
    x = 647,666.04

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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.