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Finding the Fourth Proportional to 415,941.86, 573,998.10 and 234,653.80

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Solution

The fourth proportional to 415,941.86, 573,998.10 and 234,653.80 is: 323,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,941.86 : 573,998.10 = 234,653.80 : x
  2. Step 2: Convert to fraction form
    415,941.86/573,998.10 = 234,653.80/x
  3. Step 3: Cross multiply
    415,941.86x = 573,998.10 × 234,653.80
  4. Step 4: Simplify right side
    415,941.86x = 134,690,835,357.78
  5. Step 5: Solve for x
    x = 134,690,835,357.78/415,941.86
  6. Step 6: Final answer
    x = 323,821.30

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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.