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Finding the Fourth Proportional to 443,398.02, 665,195.45 and 127,830.30

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Solution

The fourth proportional to 443,398.02, 665,195.45 and 127,830.30 is: 191,773.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,398.02 : 665,195.45 = 127,830.30 : x
  2. Step 2: Convert to fraction form
    443,398.02/665,195.45 = 127,830.30/x
  3. Step 3: Cross multiply
    443,398.02x = 665,195.45 × 127,830.30
  4. Step 4: Simplify right side
    443,398.02x = 85,032,133,932.14
  5. Step 5: Solve for x
    x = 85,032,133,932.14/443,398.02
  6. Step 6: Final answer
    x = 191,773.82

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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.