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Finding the Fourth Proportional to 496,919.24, 685,751.74 and 282,062.89

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Solution

The fourth proportional to 496,919.24, 685,751.74 and 282,062.89 is: 389,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,919.24 : 685,751.74 = 282,062.89 : x
  2. Step 2: Convert to fraction form
    496,919.24/685,751.74 = 282,062.89/x
  3. Step 3: Cross multiply
    496,919.24x = 685,751.74 × 282,062.89
  4. Step 4: Simplify right side
    496,919.24x = 193,425,117,758.96
  5. Step 5: Solve for x
    x = 193,425,117,758.96/496,919.24
  6. Step 6: Final answer
    x = 389,248.60

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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.