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Finding the Fourth Proportional to 413,408.81, 570,520.15 and 229,661.29

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Solution

The fourth proportional to 413,408.81, 570,520.15 and 229,661.29 is: 316,941.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,408.81 : 570,520.15 = 229,661.29 : x
  2. Step 2: Convert to fraction form
    413,408.81/570,520.15 = 229,661.29/x
  3. Step 3: Cross multiply
    413,408.81x = 570,520.15 × 229,661.29
  4. Step 4: Simplify right side
    413,408.81x = 131,026,393,758.99
  5. Step 5: Solve for x
    x = 131,026,393,758.99/413,408.81
  6. Step 6: Final answer
    x = 316,941.46

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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.