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Finding the Fourth Proportional to 515,577.48, 711,948.90 and 322,315.56

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Solution

The fourth proportional to 515,577.48, 711,948.90 and 322,315.56 is: 445,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,577.48 : 711,948.90 = 322,315.56 : x
  2. Step 2: Convert to fraction form
    515,577.48/711,948.90 = 322,315.56/x
  3. Step 3: Cross multiply
    515,577.48x = 711,948.90 × 322,315.56
  4. Step 4: Simplify right side
    515,577.48x = 229,472,208,394.88
  5. Step 5: Solve for x
    x = 229,472,208,394.88/515,577.48
  6. Step 6: Final answer
    x = 445,078.03

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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.