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Finding the Fourth Proportional to 497,491.81, 686,452.62 and 293,527.33

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Solution

The fourth proportional to 497,491.81, 686,452.62 and 293,527.33 is: 405,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,491.81 : 686,452.62 = 293,527.33 : x
  2. Step 2: Convert to fraction form
    497,491.81/686,452.62 = 293,527.33/x
  3. Step 3: Cross multiply
    497,491.81x = 686,452.62 × 293,527.33
  4. Step 4: Simplify right side
    497,491.81x = 201,492,604,104.70
  5. Step 5: Solve for x
    x = 201,492,604,104.70/497,491.81
  6. Step 6: Final answer
    x = 405,016.93

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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.