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Finding the Fourth Proportional to 461,760.83, 637,223.75 and 257,814.88

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Solution

The fourth proportional to 461,760.83, 637,223.75 and 257,814.88 is: 355,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,760.83 : 637,223.75 = 257,814.88 : x
  2. Step 2: Convert to fraction form
    461,760.83/637,223.75 = 257,814.88/x
  3. Step 3: Cross multiply
    461,760.83x = 637,223.75 × 257,814.88
  4. Step 4: Simplify right side
    461,760.83x = 164,285,761,757.27
  5. Step 5: Solve for x
    x = 164,285,761,757.27/461,760.83
  6. Step 6: Final answer
    x = 355,781.07

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1.5x scale

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.