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Finding the Fourth Proportional to 413,343.04, 570,373.99 and 232,013.41

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Solution

The fourth proportional to 413,343.04, 570,373.99 and 232,013.41 is: 320,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,343.04 : 570,373.99 = 232,013.41 : x
  2. Step 2: Convert to fraction form
    413,343.04/570,373.99 = 232,013.41/x
  3. Step 3: Cross multiply
    413,343.04x = 570,373.99 × 232,013.41
  4. Step 4: Simplify right side
    413,343.04x = 132,334,410,383.27
  5. Step 5: Solve for x
    x = 132,334,410,383.27/413,343.04
  6. Step 6: Final answer
    x = 320,156.38

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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.