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Finding the Fourth Proportional to 401,491.85, 602,046.99 and 233,063.82

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Solution

The fourth proportional to 401,491.85, 602,046.99 and 233,063.82 is: 349,484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,491.85 : 602,046.99 = 233,063.82 : x
  2. Step 2: Convert to fraction form
    401,491.85/602,046.99 = 233,063.82/x
  3. Step 3: Cross multiply
    401,491.85x = 602,046.99 × 233,063.82
  4. Step 4: Simplify right side
    401,491.85x = 140,315,371,308.90
  5. Step 5: Solve for x
    x = 140,315,371,308.90/401,491.85
  6. Step 6: Final answer
    x = 349,484.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.