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Finding the Fourth Proportional to 565,232.38, 847,943.64 and 186,262.34

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Solution

The fourth proportional to 565,232.38, 847,943.64 and 186,262.34 is: 279,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,232.38 : 847,943.64 = 186,262.34 : x
  2. Step 2: Convert to fraction form
    565,232.38/847,943.64 = 186,262.34/x
  3. Step 3: Cross multiply
    565,232.38x = 847,943.64 × 186,262.34
  4. Step 4: Simplify right side
    565,232.38x = 157,939,962,334.80
  5. Step 5: Solve for x
    x = 157,939,962,334.80/565,232.38
  6. Step 6: Final answer
    x = 279,424.83

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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.