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Finding the Fourth Proportional to 413,428.96, 570,620.82 and 252,249.40

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Solution

The fourth proportional to 413,428.96, 570,620.82 and 252,249.40 is: 348,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,428.96 : 570,620.82 = 252,249.40 : x
  2. Step 2: Convert to fraction form
    413,428.96/570,620.82 = 252,249.40/x
  3. Step 3: Cross multiply
    413,428.96x = 570,620.82 × 252,249.40
  4. Step 4: Simplify right side
    413,428.96x = 143,938,759,472.51
  5. Step 5: Solve for x
    x = 143,938,759,472.51/413,428.96
  6. Step 6: Final answer
    x = 348,158.39

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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.