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Finding the Fourth Proportional to 665,113.40, 996,575.70 and 384,140.60

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Solution

The fourth proportional to 665,113.40, 996,575.70 and 384,140.60 is: 575,578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,113.40 : 996,575.70 = 384,140.60 : x
  2. Step 2: Convert to fraction form
    665,113.40/996,575.70 = 384,140.60/x
  3. Step 3: Cross multiply
    665,113.40x = 996,575.70 × 384,140.60
  4. Step 4: Simplify right side
    665,113.40x = 382,825,187,343.42
  5. Step 5: Solve for x
    x = 382,825,187,343.42/665,113.40
  6. Step 6: Final answer
    x = 575,578.82

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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.