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Finding the Fourth Proportional to 458,536.70, 687,805.05 and 411,880.70

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Solution

The fourth proportional to 458,536.70, 687,805.05 and 411,880.70 is: 617,821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,536.70 : 687,805.05 = 411,880.70 : x
  2. Step 2: Convert to fraction form
    458,536.70/687,805.05 = 411,880.70/x
  3. Step 3: Cross multiply
    458,536.70x = 687,805.05 × 411,880.70
  4. Step 4: Simplify right side
    458,536.70x = 283,293,625,457.54
  5. Step 5: Solve for x
    x = 283,293,625,457.54/458,536.70
  6. Step 6: Final answer
    x = 617,821.05

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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.