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Finding the Fourth Proportional to 443,827.40, 665,303.70 and 219,003.80

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Solution

The fourth proportional to 443,827.40, 665,303.70 and 219,003.80 is: 328,289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,827.40 : 665,303.70 = 219,003.80 : x
  2. Step 2: Convert to fraction form
    443,827.40/665,303.70 = 219,003.80/x
  3. Step 3: Cross multiply
    443,827.40x = 665,303.70 × 219,003.80
  4. Step 4: Simplify right side
    443,827.40x = 145,704,038,454.06
  5. Step 5: Solve for x
    x = 145,704,038,454.06/443,827.40
  6. Step 6: Final answer
    x = 328,289.87

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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.