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Finding the Fourth Proportional to 413,649.12, 570,897.50 and 252,597.54

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Solution

The fourth proportional to 413,649.12, 570,897.50 and 252,597.54 is: 348,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,649.12 : 570,897.50 = 252,597.54 : x
  2. Step 2: Convert to fraction form
    413,649.12/570,897.50 = 252,597.54/x
  3. Step 3: Cross multiply
    413,649.12x = 570,897.50 × 252,597.54
  4. Step 4: Simplify right side
    413,649.12x = 144,207,304,092.15
  5. Step 5: Solve for x
    x = 144,207,304,092.15/413,649.12
  6. Step 6: Final answer
    x = 348,622.29

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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.