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Finding the Fourth Proportional to 438,423.60, 657,635.40 and 411,851.55

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Solution

The fourth proportional to 438,423.60, 657,635.40 and 411,851.55 is: 617,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,423.60 : 657,635.40 = 411,851.55 : x
  2. Step 2: Convert to fraction form
    438,423.60/657,635.40 = 411,851.55/x
  3. Step 3: Cross multiply
    438,423.60x = 657,635.40 × 411,851.55
  4. Step 4: Simplify right side
    438,423.60x = 270,848,158,824.87
  5. Step 5: Solve for x
    x = 270,848,158,824.87/438,423.60
  6. Step 6: Final answer
    x = 617,777.33

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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.