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Finding the Fourth Proportional to 413,081.94, 570,006.81 and 231,756.15

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Solution

The fourth proportional to 413,081.94, 570,006.81 and 231,756.15 is: 319,797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,081.94 : 570,006.81 = 231,756.15 : x
  2. Step 2: Convert to fraction form
    413,081.94/570,006.81 = 231,756.15/x
  3. Step 3: Cross multiply
    413,081.94x = 570,006.81 × 231,756.15
  4. Step 4: Simplify right side
    413,081.94x = 132,102,583,759.38
  5. Step 5: Solve for x
    x = 132,102,583,759.38/413,081.94
  6. Step 6: Final answer
    x = 319,797.53

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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.