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Finding the Fourth Proportional to 563,838.86, 777,344.88 and 447,936.87

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Solution

The fourth proportional to 563,838.86, 777,344.88 and 447,936.87 is: 617,554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,838.86 : 777,344.88 = 447,936.87 : x
  2. Step 2: Convert to fraction form
    563,838.86/777,344.88 = 447,936.87/x
  3. Step 3: Cross multiply
    563,838.86x = 777,344.88 × 447,936.87
  4. Step 4: Simplify right side
    563,838.86x = 348,201,432,457.73
  5. Step 5: Solve for x
    x = 348,201,432,457.73/563,838.86
  6. Step 6: Final answer
    x = 617,554.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.