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Finding the Fourth Proportional to 456,300.44, 684,567.32 and 189,972.44

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Solution

The fourth proportional to 456,300.44, 684,567.32 and 189,972.44 is: 285,007.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,300.44 : 684,567.32 = 189,972.44 : x
  2. Step 2: Convert to fraction form
    456,300.44/684,567.32 = 189,972.44/x
  3. Step 3: Cross multiply
    456,300.44x = 684,567.32 × 189,972.44
  4. Step 4: Simplify right side
    456,300.44x = 130,048,924,124.66
  5. Step 5: Solve for x
    x = 130,048,924,124.66/456,300.44
  6. Step 6: Final answer
    x = 285,007.23

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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.