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Finding the Fourth Proportional to 562,497.32, 843,858.84 and 207,513.20

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Solution

The fourth proportional to 562,497.32, 843,858.84 and 207,513.20 is: 311,311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,497.32 : 843,858.84 = 207,513.20 : x
  2. Step 2: Convert to fraction form
    562,497.32/843,858.84 = 207,513.20/x
  3. Step 3: Cross multiply
    562,497.32x = 843,858.84 × 207,513.20
  4. Step 4: Simplify right side
    562,497.32x = 175,111,848,236.69
  5. Step 5: Solve for x
    x = 175,111,848,236.69/562,497.32
  6. Step 6: Final answer
    x = 311,311.44

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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.