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Finding the Fourth Proportional to 463,613.82, 695,420.74 and 253,136.94

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Solution

The fourth proportional to 463,613.82, 695,420.74 and 253,136.94 is: 379,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,613.82 : 695,420.74 = 253,136.94 : x
  2. Step 2: Convert to fraction form
    463,613.82/695,420.74 = 253,136.94/x
  3. Step 3: Cross multiply
    463,613.82x = 695,420.74 × 253,136.94
  4. Step 4: Simplify right side
    463,613.82x = 176,036,678,136.14
  5. Step 5: Solve for x
    x = 176,036,678,136.14/463,613.82
  6. Step 6: Final answer
    x = 379,705.42

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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.