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Finding the Fourth Proportional to 413,700.12, 570,865.86 and 232,371

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Solution

The fourth proportional to 413,700.12, 570,865.86 and 232,371 is: 320,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,700.12 : 570,865.86 = 232,371 : x
  2. Step 2: Convert to fraction form
    413,700.12/570,865.86 = 232,371/x
  3. Step 3: Cross multiply
    413,700.12x = 570,865.86 × 232,371
  4. Step 4: Simplify right side
    413,700.12x = 132,652,670,754.06
  5. Step 5: Solve for x
    x = 132,652,670,754.06/413,700.12
  6. Step 6: Final answer
    x = 320,649.34

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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.