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Finding the Fourth Proportional to 415,811.86, 573,689.38 and 254,498.74

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Solution

The fourth proportional to 415,811.86, 573,689.38 and 254,498.74 is: 351,128.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,811.86 : 573,689.38 = 254,498.74 : x
  2. Step 2: Convert to fraction form
    415,811.86/573,689.38 = 254,498.74/x
  3. Step 3: Cross multiply
    415,811.86x = 573,689.38 × 254,498.74
  4. Step 4: Simplify right side
    415,811.86x = 146,003,224,361.38
  5. Step 5: Solve for x
    x = 146,003,224,361.38/415,811.86
  6. Step 6: Final answer
    x = 351,128.09

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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.