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Finding the Fourth Proportional to 413,493.52, 570,682.80 and 252,441.96

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Solution

The fourth proportional to 413,493.52, 570,682.80 and 252,441.96 is: 348,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,493.52 : 570,682.80 = 252,441.96 : x
  2. Step 2: Convert to fraction form
    413,493.52/570,682.80 = 252,441.96/x
  3. Step 3: Cross multiply
    413,493.52x = 570,682.80 × 252,441.96
  4. Step 4: Simplify right side
    413,493.52x = 144,064,284,570.29
  5. Step 5: Solve for x
    x = 144,064,284,570.29/413,493.52
  6. Step 6: Final answer
    x = 348,407.60

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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.