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Finding the Fourth Proportional to 463,442.40, 695,228.40 and 197,200.80

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Solution

The fourth proportional to 463,442.40, 695,228.40 and 197,200.80 is: 295,828.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,442.40 : 695,228.40 = 197,200.80 : x
  2. Step 2: Convert to fraction form
    463,442.40/695,228.40 = 197,200.80/x
  3. Step 3: Cross multiply
    463,442.40x = 695,228.40 × 197,200.80
  4. Step 4: Simplify right side
    463,442.40x = 137,099,596,662.72
  5. Step 5: Solve for x
    x = 137,099,596,662.72/463,442.40
  6. Step 6: Final answer
    x = 295,828.77

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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.