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Finding the Fourth Proportional to 413,489, 570,614.86 and 232,201.04

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Solution

The fourth proportional to 413,489, 570,614.86 and 232,201.04 is: 320,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,489 : 570,614.86 = 232,201.04 : x
  2. Step 2: Convert to fraction form
    413,489/570,614.86 = 232,201.04/x
  3. Step 3: Cross multiply
    413,489x = 570,614.86 × 232,201.04
  4. Step 4: Simplify right side
    413,489x = 132,497,363,931.45
  5. Step 5: Solve for x
    x = 132,497,363,931.45/413,489
  6. Step 6: Final answer
    x = 320,437.46

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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.