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Finding the Fourth Proportional to 413,732.25, 570,958.07 and 229,988.07

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Solution

The fourth proportional to 413,732.25, 570,958.07 and 229,988.07 is: 317,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,732.25 : 570,958.07 = 229,988.07 : x
  2. Step 2: Convert to fraction form
    413,732.25/570,958.07 = 229,988.07/x
  3. Step 3: Cross multiply
    413,732.25x = 570,958.07 × 229,988.07
  4. Step 4: Simplify right side
    413,732.25x = 131,313,543,420.29
  5. Step 5: Solve for x
    x = 131,313,543,420.29/413,732.25
  6. Step 6: Final answer
    x = 317,387.74

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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.