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Finding the Fourth Proportional to 427,814.10, 590,198.13 and 257,953.86

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Solution

The fourth proportional to 427,814.10, 590,198.13 and 257,953.86 is: 355,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,814.10 : 590,198.13 = 257,953.86 : x
  2. Step 2: Convert to fraction form
    427,814.10/590,198.13 = 257,953.86/x
  3. Step 3: Cross multiply
    427,814.10x = 590,198.13 × 257,953.86
  4. Step 4: Simplify right side
    427,814.10x = 152,243,885,798.28
  5. Step 5: Solve for x
    x = 152,243,885,798.28/427,814.10
  6. Step 6: Final answer
    x = 355,864.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.