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Finding the Fourth Proportional to 413,758, 570,986.58 and 234,910

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Solution

The fourth proportional to 413,758, 570,986.58 and 234,910 is: 324,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,758 : 570,986.58 = 234,910 : x
  2. Step 2: Convert to fraction form
    413,758/570,986.58 = 234,910/x
  3. Step 3: Cross multiply
    413,758x = 570,986.58 × 234,910
  4. Step 4: Simplify right side
    413,758x = 134,130,457,507.80
  5. Step 5: Solve for x
    x = 134,130,457,507.80/413,758
  6. Step 6: Final answer
    x = 324,176.11

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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.