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Finding the Fourth Proportional to 413,476.80, 570,659.81 and 252,425.52

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Solution

The fourth proportional to 413,476.80, 570,659.81 and 252,425.52 is: 348,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,476.80 : 570,659.81 = 252,425.52 : x
  2. Step 2: Convert to fraction form
    413,476.80/570,659.81 = 252,425.52/x
  3. Step 3: Cross multiply
    413,476.80x = 570,659.81 × 252,425.52
  4. Step 4: Simplify right side
    413,476.80x = 144,049,098,020.22
  5. Step 5: Solve for x
    x = 144,049,098,020.22/413,476.80
  6. Step 6: Final answer
    x = 348,384.96

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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.