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Finding the Fourth Proportional to 413,151.94, 570,147.42 and 231,863.68

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Solution

The fourth proportional to 413,151.94, 570,147.42 and 231,863.68 is: 319,970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,151.94 : 570,147.42 = 231,863.68 : x
  2. Step 2: Convert to fraction form
    413,151.94/570,147.42 = 231,863.68/x
  3. Step 3: Cross multiply
    413,151.94x = 570,147.42 × 231,863.68
  4. Step 4: Simplify right side
    413,151.94x = 132,196,478,943.71
  5. Step 5: Solve for x
    x = 132,196,478,943.71/413,151.94
  6. Step 6: Final answer
    x = 319,970.61

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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.