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Finding the Fourth Proportional to 509,953.88, 702,998.62 and 337,583.04

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Solution

The fourth proportional to 509,953.88, 702,998.62 and 337,583.04 is: 465,376.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,953.88 : 702,998.62 = 337,583.04 : x
  2. Step 2: Convert to fraction form
    509,953.88/702,998.62 = 337,583.04/x
  3. Step 3: Cross multiply
    509,953.88x = 702,998.62 × 337,583.04
  4. Step 4: Simplify right side
    509,953.88x = 237,320,411,255.41
  5. Step 5: Solve for x
    x = 237,320,411,255.41/509,953.88
  6. Step 6: Final answer
    x = 465,376.22

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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.