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Finding the Fourth Proportional to 541,422.07, 811,859.66 and 316,849.98

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Solution

The fourth proportional to 541,422.07, 811,859.66 and 316,849.98 is: 475,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,422.07 : 811,859.66 = 316,849.98 : x
  2. Step 2: Convert to fraction form
    541,422.07/811,859.66 = 316,849.98/x
  3. Step 3: Cross multiply
    541,422.07x = 811,859.66 × 316,849.98
  4. Step 4: Simplify right side
    541,422.07x = 257,237,715,115.51
  5. Step 5: Solve for x
    x = 257,237,715,115.51/541,422.07
  6. Step 6: Final answer
    x = 475,114.94

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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.