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Finding the Fourth Proportional to 443,498.40, 665,296.20 and 429,501.60

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Solution

The fourth proportional to 443,498.40, 665,296.20 and 429,501.60 is: 644,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,498.40 : 665,296.20 = 429,501.60 : x
  2. Step 2: Convert to fraction form
    443,498.40/665,296.20 = 429,501.60/x
  3. Step 3: Cross multiply
    443,498.40x = 665,296.20 × 429,501.60
  4. Step 4: Simplify right side
    443,498.40x = 285,745,782,373.92
  5. Step 5: Solve for x
    x = 285,745,782,373.92/443,498.40
  6. Step 6: Final answer
    x = 644,299.47

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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.