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Finding the Fourth Proportional to 413,668.40, 570,831.66 and 232,410.51

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Solution

The fourth proportional to 413,668.40, 570,831.66 and 232,410.51 is: 320,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,668.40 : 570,831.66 = 232,410.51 : x
  2. Step 2: Convert to fraction form
    413,668.40/570,831.66 = 232,410.51/x
  3. Step 3: Cross multiply
    413,668.40x = 570,831.66 × 232,410.51
  4. Step 4: Simplify right side
    413,668.40x = 132,667,277,224.75
  5. Step 5: Solve for x
    x = 132,667,277,224.75/413,668.40
  6. Step 6: Final answer
    x = 320,709.24

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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.