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Finding the Fourth Proportional to 509,952.88, 702,997.24 and 337,582.04

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Solution

The fourth proportional to 509,952.88, 702,997.24 and 337,582.04 is: 465,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,952.88 : 702,997.24 = 337,582.04 : x
  2. Step 2: Convert to fraction form
    509,952.88/702,997.24 = 337,582.04/x
  3. Step 3: Cross multiply
    509,952.88x = 702,997.24 × 337,582.04
  4. Step 4: Simplify right side
    509,952.88x = 237,319,242,393.57
  5. Step 5: Solve for x
    x = 237,319,242,393.57/509,952.88
  6. Step 6: Final answer
    x = 465,374.84

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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.