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Finding the Fourth Proportional to 413,493.03, 570,682.10 and 252,441.44

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Solution

The fourth proportional to 413,493.03, 570,682.10 and 252,441.44 is: 348,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,493.03 : 570,682.10 = 252,441.44 : x
  2. Step 2: Convert to fraction form
    413,493.03/570,682.10 = 252,441.44/x
  3. Step 3: Cross multiply
    413,493.03x = 570,682.10 × 252,441.44
  4. Step 4: Simplify right side
    413,493.03x = 144,063,806,990.61
  5. Step 5: Solve for x
    x = 144,063,806,990.61/413,493.03
  6. Step 6: Final answer
    x = 348,406.86

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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.