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Finding the Fourth Proportional to 497,051.82, 685,950.93 and 282,211.88

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Solution

The fourth proportional to 497,051.82, 685,950.93 and 282,211.88 is: 389,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,051.82 : 685,950.93 = 282,211.88 : x
  2. Step 2: Convert to fraction form
    497,051.82/685,950.93 = 282,211.88/x
  3. Step 3: Cross multiply
    497,051.82x = 685,950.93 × 282,211.88
  4. Step 4: Simplify right side
    497,051.82x = 193,583,498,113.29
  5. Step 5: Solve for x
    x = 193,583,498,113.29/497,051.82
  6. Step 6: Final answer
    x = 389,463.41

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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.