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Finding the Fourth Proportional to 523,136.88, 782,665.82 and 458,582.57

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Solution

The fourth proportional to 523,136.88, 782,665.82 and 458,582.57 is: 686,086.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,136.88 : 782,665.82 = 458,582.57 : x
  2. Step 2: Convert to fraction form
    523,136.88/782,665.82 = 458,582.57/x
  3. Step 3: Cross multiply
    523,136.88x = 782,665.82 × 458,582.57
  4. Step 4: Simplify right side
    523,136.88x = 358,916,896,980.52
  5. Step 5: Solve for x
    x = 358,916,896,980.52/523,136.88
  6. Step 6: Final answer
    x = 686,086.01

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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.