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Finding the Fourth Proportional to 665,458.10, 996,874.95 and 398,425.40

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Solution

The fourth proportional to 665,458.10, 996,874.95 and 398,425.40 is: 596,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,458.10 : 996,874.95 = 398,425.40 : x
  2. Step 2: Convert to fraction form
    665,458.10/996,874.95 = 398,425.40/x
  3. Step 3: Cross multiply
    665,458.10x = 996,874.95 × 398,425.40
  4. Step 4: Simplify right side
    665,458.10x = 397,180,300,703.73
  5. Step 5: Solve for x
    x = 397,180,300,703.73/665,458.10
  6. Step 6: Final answer
    x = 596,852.46

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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.