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Finding the Fourth Proportional to 565,841.04, 782,916.82 and 493,395

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Solution

The fourth proportional to 565,841.04, 782,916.82 and 493,395 is: 682,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,841.04 : 782,916.82 = 493,395 : x
  2. Step 2: Convert to fraction form
    565,841.04/782,916.82 = 493,395/x
  3. Step 3: Cross multiply
    565,841.04x = 782,916.82 × 493,395
  4. Step 4: Simplify right side
    565,841.04x = 386,287,244,403.90
  5. Step 5: Solve for x
    x = 386,287,244,403.90/565,841.04
  6. Step 6: Final answer
    x = 682,678.03

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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.