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Finding the Fourth Proportional to 431,051.64, 594,869.70 and 240,065

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Solution

The fourth proportional to 431,051.64, 594,869.70 and 240,065 is: 331,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,051.64 : 594,869.70 = 240,065 : x
  2. Step 2: Convert to fraction form
    431,051.64/594,869.70 = 240,065/x
  3. Step 3: Cross multiply
    431,051.64x = 594,869.70 × 240,065
  4. Step 4: Simplify right side
    431,051.64x = 142,807,394,530.50
  5. Step 5: Solve for x
    x = 142,807,394,530.50/431,051.64
  6. Step 6: Final answer
    x = 331,299.97

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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.