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Finding the Fourth Proportional to 413,251.29, 570,214.71 and 231,970.86

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Solution

The fourth proportional to 413,251.29, 570,214.71 and 231,970.86 is: 320,079.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,251.29 : 570,214.71 = 231,970.86 : x
  2. Step 2: Convert to fraction form
    413,251.29/570,214.71 = 231,970.86/x
  3. Step 3: Cross multiply
    413,251.29x = 570,214.71 × 231,970.86
  4. Step 4: Simplify right side
    413,251.29x = 132,273,196,663.35
  5. Step 5: Solve for x
    x = 132,273,196,663.35/413,251.29
  6. Step 6: Final answer
    x = 320,079.33

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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.