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Finding the Fourth Proportional to 562,065.66, 842,655.57 and 206,885.94

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Solution

The fourth proportional to 562,065.66, 842,655.57 and 206,885.94 is: 310,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,065.66 : 842,655.57 = 206,885.94 : x
  2. Step 2: Convert to fraction form
    562,065.66/842,655.57 = 206,885.94/x
  3. Step 3: Cross multiply
    562,065.66x = 842,655.57 × 206,885.94
  4. Step 4: Simplify right side
    562,065.66x = 174,333,589,695.69
  5. Step 5: Solve for x
    x = 174,333,589,695.69/562,065.66
  6. Step 6: Final answer
    x = 310,165.88

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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.