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Finding the Fourth Proportional to 413,150.42, 570,151.81 and 229,392

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Solution

The fourth proportional to 413,150.42, 570,151.81 and 229,392 is: 316,563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,150.42 : 570,151.81 = 229,392 : x
  2. Step 2: Convert to fraction form
    413,150.42/570,151.81 = 229,392/x
  3. Step 3: Cross multiply
    413,150.42x = 570,151.81 × 229,392
  4. Step 4: Simplify right side
    413,150.42x = 130,788,264,286.26
  5. Step 5: Solve for x
    x = 130,788,264,286.26/413,150.42
  6. Step 6: Final answer
    x = 316,563.31

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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.