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Finding the Fourth Proportional to 461,761.34, 637,224.44 and 257,815.38

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Solution

The fourth proportional to 461,761.34, 637,224.44 and 257,815.38 is: 355,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,761.34 : 637,224.44 = 257,815.38 : x
  2. Step 2: Convert to fraction form
    461,761.34/637,224.44 = 257,815.38/x
  3. Step 3: Cross multiply
    461,761.34x = 637,224.44 × 257,815.38
  4. Step 4: Simplify right side
    461,761.34x = 164,286,259,854.81
  5. Step 5: Solve for x
    x = 164,286,259,854.81/461,761.34
  6. Step 6: Final answer
    x = 355,781.76

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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.