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Finding the Fourth Proportional to 497,481.89, 686,527.28 and 282,633.74

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Solution

The fourth proportional to 497,481.89, 686,527.28 and 282,633.74 is: 390,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,481.89 : 686,527.28 = 282,633.74 : x
  2. Step 2: Convert to fraction form
    497,481.89/686,527.28 = 282,633.74/x
  3. Step 3: Cross multiply
    497,481.89x = 686,527.28 × 282,633.74
  4. Step 4: Simplify right side
    497,481.89x = 194,035,771,345.26
  5. Step 5: Solve for x
    x = 194,035,771,345.26/497,481.89
  6. Step 6: Final answer
    x = 390,035.85

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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.