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Finding the Fourth Proportional to 442,684.82, 610,933.92 and 251,715.98

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Solution

The fourth proportional to 442,684.82, 610,933.92 and 251,715.98 is: 347,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,684.82 : 610,933.92 = 251,715.98 : x
  2. Step 2: Convert to fraction form
    442,684.82/610,933.92 = 251,715.98/x
  3. Step 3: Cross multiply
    442,684.82x = 610,933.92 × 251,715.98
  4. Step 4: Simplify right side
    442,684.82x = 153,781,830,388.04
  5. Step 5: Solve for x
    x = 153,781,830,388.04/442,684.82
  6. Step 6: Final answer
    x = 347,384.47

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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.